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Finding the Fourth Proportional to 624, 861.60 and 493.68

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Solution

The fourth proportional to 624, 861.60 and 493.68 is: 681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    624 : 861.60 = 493.68 : x
  2. Step 2: Convert to fraction form
    624/861.60 = 493.68/x
  3. Step 3: Cross multiply
    624x = 861.60 × 493.68
  4. Step 4: Simplify right side
    624x = 425,354.69
  5. Step 5: Solve for x
    x = 425,354.69/624
  6. Step 6: Final answer
    x = 681.66

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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.