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Finding the Fourth Proportional to 624.62, 935.46 and 502.22

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Solution

The fourth proportional to 624.62, 935.46 and 502.22 is: 752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.62 : 935.46 = 502.22 : x
  2. Step 2: Convert to fraction form
    624.62/935.46 = 502.22/x
  3. Step 3: Cross multiply
    624.62x = 935.46 × 502.22
  4. Step 4: Simplify right side
    624.62x = 469,806.72
  5. Step 5: Solve for x
    x = 469,806.72/624.62
  6. Step 6: Final answer
    x = 752.15

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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.