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Finding the Fourth Proportional to 711.71, 981.68 and 463.24

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Solution

The fourth proportional to 711.71, 981.68 and 463.24 is: 638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.71 : 981.68 = 463.24 : x
  2. Step 2: Convert to fraction form
    711.71/981.68 = 463.24/x
  3. Step 3: Cross multiply
    711.71x = 981.68 × 463.24
  4. Step 4: Simplify right side
    711.71x = 454,753.44
  5. Step 5: Solve for x
    x = 454,753.44/711.71
  6. Step 6: Final answer
    x = 638.96

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.