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Finding the Fourth Proportional to 624.96, 862.16 and 493.76

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Solution

The fourth proportional to 624.96, 862.16 and 493.76 is: 681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.96 : 862.16 = 493.76 : x
  2. Step 2: Convert to fraction form
    624.96/862.16 = 493.76/x
  3. Step 3: Cross multiply
    624.96x = 862.16 × 493.76
  4. Step 4: Simplify right side
    624.96x = 425,700.12
  5. Step 5: Solve for x
    x = 425,700.12/624.96
  6. Step 6: Final answer
    x = 681.16

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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.