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Finding the Fourth Proportional to 656.68, 984.10 and 494.17

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Solution

The fourth proportional to 656.68, 984.10 and 494.17 is: 740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.68 : 984.10 = 494.17 : x
  2. Step 2: Convert to fraction form
    656.68/984.10 = 494.17/x
  3. Step 3: Cross multiply
    656.68x = 984.10 × 494.17
  4. Step 4: Simplify right side
    656.68x = 486,312.70
  5. Step 5: Solve for x
    x = 486,312.70/656.68
  6. Step 6: Final answer
    x = 740.56

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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.