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Finding the Fourth Proportional to 502.91, 755.01 and 349.82

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Solution

The fourth proportional to 502.91, 755.01 and 349.82 is: 525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.91 : 755.01 = 349.82 : x
  2. Step 2: Convert to fraction form
    502.91/755.01 = 349.82/x
  3. Step 3: Cross multiply
    502.91x = 755.01 × 349.82
  4. Step 4: Simplify right side
    502.91x = 264,117.60
  5. Step 5: Solve for x
    x = 264,117.60/502.91
  6. Step 6: Final answer
    x = 525.18

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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.