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Finding the Fourth Proportional to 664.42, 997.11 and 493.86

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Solution

The fourth proportional to 664.42, 997.11 and 493.86 is: 741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.42 : 997.11 = 493.86 : x
  2. Step 2: Convert to fraction form
    664.42/997.11 = 493.86/x
  3. Step 3: Cross multiply
    664.42x = 997.11 × 493.86
  4. Step 4: Simplify right side
    664.42x = 492,432.74
  5. Step 5: Solve for x
    x = 492,432.74/664.42
  6. Step 6: Final answer
    x = 741.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.