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Finding the Fourth Proportional to 334.71, 502.14 and 232.05

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Solution

The fourth proportional to 334.71, 502.14 and 232.05 is: 348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.71 : 502.14 = 232.05 : x
  2. Step 2: Convert to fraction form
    334.71/502.14 = 232.05/x
  3. Step 3: Cross multiply
    334.71x = 502.14 × 232.05
  4. Step 4: Simplify right side
    334.71x = 116,521.59
  5. Step 5: Solve for x
    x = 116,521.59/334.71
  6. Step 6: Final answer
    x = 348.13

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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.