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Finding the Fourth Proportional to 974.03, 1,460.50 and 324.41

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Solution

The fourth proportional to 974.03, 1,460.50 and 324.41 is: 486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.03 : 1,460.50 = 324.41 : x
  2. Step 2: Convert to fraction form
    974.03/1,460.50 = 324.41/x
  3. Step 3: Cross multiply
    974.03x = 1,460.50 × 324.41
  4. Step 4: Simplify right side
    974.03x = 473,797.15
  5. Step 5: Solve for x
    x = 473,797.15/974.03
  6. Step 6: Final answer
    x = 486.43

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.