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Finding the Fourth Proportional to 666.35, 997.82 and 492.76

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Solution

The fourth proportional to 666.35, 997.82 and 492.76 is: 737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.35 : 997.82 = 492.76 : x
  2. Step 2: Convert to fraction form
    666.35/997.82 = 492.76/x
  3. Step 3: Cross multiply
    666.35x = 997.82 × 492.76
  4. Step 4: Simplify right side
    666.35x = 491,683.61
  5. Step 5: Solve for x
    x = 491,683.61/666.35
  6. Step 6: Final answer
    x = 737.87

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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.