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Finding the Fourth Proportional to 624.29, 861.59 and 468.77

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Solution

The fourth proportional to 624.29, 861.59 and 468.77 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.29 : 861.59 = 468.77 : x
  2. Step 2: Convert to fraction form
    624.29/861.59 = 468.77/x
  3. Step 3: Cross multiply
    624.29x = 861.59 × 468.77
  4. Step 4: Simplify right side
    624.29x = 403,887.54
  5. Step 5: Solve for x
    x = 403,887.54/624.29
  6. Step 6: Final answer
    x = 646.96

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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.