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Finding the Fourth Proportional to 624.30, 861.06 and 414.10

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Solution

The fourth proportional to 624.30, 861.06 and 414.10 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 861.06 = 414.10 : x
  2. Step 2: Convert to fraction form
    624.30/861.06 = 414.10/x
  3. Step 3: Cross multiply
    624.30x = 861.06 × 414.10
  4. Step 4: Simplify right side
    624.30x = 356,564.95
  5. Step 5: Solve for x
    x = 356,564.95/624.30
  6. Step 6: Final answer
    x = 571.14

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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.