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Finding the Fourth Proportional to 624.09, 861.03 and 414.66

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Solution

The fourth proportional to 624.09, 861.03 and 414.66 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.09 : 861.03 = 414.66 : x
  2. Step 2: Convert to fraction form
    624.09/861.03 = 414.66/x
  3. Step 3: Cross multiply
    624.09x = 861.03 × 414.66
  4. Step 4: Simplify right side
    624.09x = 357,034.70
  5. Step 5: Solve for x
    x = 357,034.70/624.09
  6. Step 6: Final answer
    x = 572.09

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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.