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Finding the Fourth Proportional to 502.84, 754.77 and 229.12

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Solution

The fourth proportional to 502.84, 754.77 and 229.12 is: 343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 754.77 = 229.12 : x
  2. Step 2: Convert to fraction form
    502.84/754.77 = 229.12/x
  3. Step 3: Cross multiply
    502.84x = 754.77 × 229.12
  4. Step 4: Simplify right side
    502.84x = 172,935.03
  5. Step 5: Solve for x
    x = 172,935.03/502.84
  6. Step 6: Final answer
    x = 343.92

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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.