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Finding the Fourth Proportional to 624.11, 861.37 and 411.35

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Solution

The fourth proportional to 624.11, 861.37 and 411.35 is: 567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.11 : 861.37 = 411.35 : x
  2. Step 2: Convert to fraction form
    624.11/861.37 = 411.35/x
  3. Step 3: Cross multiply
    624.11x = 861.37 × 411.35
  4. Step 4: Simplify right side
    624.11x = 354,319.21
  5. Step 5: Solve for x
    x = 354,319.21/624.11
  6. Step 6: Final answer
    x = 567.72

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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.