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Finding the Fourth Proportional to 502.16, 753.42 and 348.04

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Solution

The fourth proportional to 502.16, 753.42 and 348.04 is: 522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 753.42 = 348.04 : x
  2. Step 2: Convert to fraction form
    502.16/753.42 = 348.04/x
  3. Step 3: Cross multiply
    502.16x = 753.42 × 348.04
  4. Step 4: Simplify right side
    502.16x = 262,220.30
  5. Step 5: Solve for x
    x = 262,220.30/502.16
  6. Step 6: Final answer
    x = 522.18

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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.