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Finding the Fourth Proportional to 387.02, 534.14 and 229.70

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Solution

The fourth proportional to 387.02, 534.14 and 229.70 is: 317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.02 : 534.14 = 229.70 : x
  2. Step 2: Convert to fraction form
    387.02/534.14 = 229.70/x
  3. Step 3: Cross multiply
    387.02x = 534.14 × 229.70
  4. Step 4: Simplify right side
    387.02x = 122,691.96
  5. Step 5: Solve for x
    x = 122,691.96/387.02
  6. Step 6: Final answer
    x = 317.02

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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.