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Finding the Fourth Proportional to 624.06, 861.56 and 414.52

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Solution

The fourth proportional to 624.06, 861.56 and 414.52 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.06 : 861.56 = 414.52 : x
  2. Step 2: Convert to fraction form
    624.06/861.56 = 414.52/x
  3. Step 3: Cross multiply
    624.06x = 861.56 × 414.52
  4. Step 4: Simplify right side
    624.06x = 357,133.85
  5. Step 5: Solve for x
    x = 357,133.85/624.06
  6. Step 6: Final answer
    x = 572.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.