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Finding the Fourth Proportional to 337.14, 502.06 and 316.38

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Solution

The fourth proportional to 337.14, 502.06 and 316.38 is: 471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.14 : 502.06 = 316.38 : x
  2. Step 2: Convert to fraction form
    337.14/502.06 = 316.38/x
  3. Step 3: Cross multiply
    337.14x = 502.06 × 316.38
  4. Step 4: Simplify right side
    337.14x = 158,841.74
  5. Step 5: Solve for x
    x = 158,841.74/337.14
  6. Step 6: Final answer
    x = 471.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.