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Finding the Fourth Proportional to 624.29, 861.66 and 358.83

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Solution

The fourth proportional to 624.29, 861.66 and 358.83 is: 495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.29 : 861.66 = 358.83 : x
  2. Step 2: Convert to fraction form
    624.29/861.66 = 358.83/x
  3. Step 3: Cross multiply
    624.29x = 861.66 × 358.83
  4. Step 4: Simplify right side
    624.29x = 309,189.46
  5. Step 5: Solve for x
    x = 309,189.46/624.29
  6. Step 6: Final answer
    x = 495.27

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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.