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Finding the Fourth Proportional to 724.35, 998.94 and 475.57

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Solution

The fourth proportional to 724.35, 998.94 and 475.57 is: 655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.35 : 998.94 = 475.57 : x
  2. Step 2: Convert to fraction form
    724.35/998.94 = 475.57/x
  3. Step 3: Cross multiply
    724.35x = 998.94 × 475.57
  4. Step 4: Simplify right side
    724.35x = 475,065.90
  5. Step 5: Solve for x
    x = 475,065.90/724.35
  6. Step 6: Final answer
    x = 655.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.