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Finding the Fourth Proportional to 973.47, 1,460.46 and 324.21

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Solution

The fourth proportional to 973.47, 1,460.46 and 324.21 is: 486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.47 : 1,460.46 = 324.21 : x
  2. Step 2: Convert to fraction form
    973.47/1,460.46 = 324.21/x
  3. Step 3: Cross multiply
    973.47x = 1,460.46 × 324.21
  4. Step 4: Simplify right side
    973.47x = 473,495.74
  5. Step 5: Solve for x
    x = 473,495.74/973.47
  6. Step 6: Final answer
    x = 486.40

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.