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Finding the Fourth Proportional to 322.71, 484.13 and 207.15

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Solution

The fourth proportional to 322.71, 484.13 and 207.15 is: 310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.71 : 484.13 = 207.15 : x
  2. Step 2: Convert to fraction form
    322.71/484.13 = 207.15/x
  3. Step 3: Cross multiply
    322.71x = 484.13 × 207.15
  4. Step 4: Simplify right side
    322.71x = 100,287.53
  5. Step 5: Solve for x
    x = 100,287.53/322.71
  6. Step 6: Final answer
    x = 310.77

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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.