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Finding the Fourth Proportional to 649.40, 974.14 and 324.66

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Solution

The fourth proportional to 649.40, 974.14 and 324.66 is: 487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 974.14 = 324.66 : x
  2. Step 2: Convert to fraction form
    649.40/974.14 = 324.66/x
  3. Step 3: Cross multiply
    649.40x = 974.14 × 324.66
  4. Step 4: Simplify right side
    649.40x = 316,263.48
  5. Step 5: Solve for x
    x = 316,263.48/649.40
  6. Step 6: Final answer
    x = 487.01

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.