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Finding the Fourth Proportional to 624.47, 861.10 and 414.58

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Solution

The fourth proportional to 624.47, 861.10 and 414.58 is: 571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.47 : 861.10 = 414.58 : x
  2. Step 2: Convert to fraction form
    624.47/861.10 = 414.58/x
  3. Step 3: Cross multiply
    624.47x = 861.10 × 414.58
  4. Step 4: Simplify right side
    624.47x = 356,994.84
  5. Step 5: Solve for x
    x = 356,994.84/624.47
  6. Step 6: Final answer
    x = 571.68

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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.