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Finding the Fourth Proportional to 624.12, 861.66 and 417.24

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Solution

The fourth proportional to 624.12, 861.66 and 417.24 is: 576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.12 : 861.66 = 417.24 : x
  2. Step 2: Convert to fraction form
    624.12/861.66 = 417.24/x
  3. Step 3: Cross multiply
    624.12x = 861.66 × 417.24
  4. Step 4: Simplify right side
    624.12x = 359,519.02
  5. Step 5: Solve for x
    x = 359,519.02/624.12
  6. Step 6: Final answer
    x = 576.04

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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.