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Finding the Fourth Proportional to 624.78, 861.80 and 414.95

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Solution

The fourth proportional to 624.78, 861.80 and 414.95 is: 572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.78 : 861.80 = 414.95 : x
  2. Step 2: Convert to fraction form
    624.78/861.80 = 414.95/x
  3. Step 3: Cross multiply
    624.78x = 861.80 × 414.95
  4. Step 4: Simplify right side
    624.78x = 357,603.91
  5. Step 5: Solve for x
    x = 357,603.91/624.78
  6. Step 6: Final answer
    x = 572.37

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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.