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Finding the Fourth Proportional to 624.24, 932.22 and 617.46

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Solution

The fourth proportional to 624.24, 932.22 and 617.46 is: 922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.24 : 932.22 = 617.46 : x
  2. Step 2: Convert to fraction form
    624.24/932.22 = 617.46/x
  3. Step 3: Cross multiply
    624.24x = 932.22 × 617.46
  4. Step 4: Simplify right side
    624.24x = 575,608.56
  5. Step 5: Solve for x
    x = 575,608.56/624.24
  6. Step 6: Final answer
    x = 922.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.