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Finding the Fourth Proportional to 624.14, 861.75 and 414.75

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Solution

The fourth proportional to 624.14, 861.75 and 414.75 is: 572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.14 : 861.75 = 414.75 : x
  2. Step 2: Convert to fraction form
    624.14/861.75 = 414.75/x
  3. Step 3: Cross multiply
    624.14x = 861.75 × 414.75
  4. Step 4: Simplify right side
    624.14x = 357,410.81
  5. Step 5: Solve for x
    x = 357,410.81/624.14
  6. Step 6: Final answer
    x = 572.65

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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.