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Finding the Fourth Proportional to 624.04, 861.26 and 468.52

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Solution

The fourth proportional to 624.04, 861.26 and 468.52 is: 646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.04 : 861.26 = 468.52 : x
  2. Step 2: Convert to fraction form
    624.04/861.26 = 468.52/x
  3. Step 3: Cross multiply
    624.04x = 861.26 × 468.52
  4. Step 4: Simplify right side
    624.04x = 403,517.54
  5. Step 5: Solve for x
    x = 403,517.54/624.04
  6. Step 6: Final answer
    x = 646.62

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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.