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Finding the Fourth Proportional to 724.21, 998.72 and 475.74

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Solution

The fourth proportional to 724.21, 998.72 and 475.74 is: 656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.21 : 998.72 = 475.74 : x
  2. Step 2: Convert to fraction form
    724.21/998.72 = 475.74/x
  3. Step 3: Cross multiply
    724.21x = 998.72 × 475.74
  4. Step 4: Simplify right side
    724.21x = 475,131.05
  5. Step 5: Solve for x
    x = 475,131.05/724.21
  6. Step 6: Final answer
    x = 656.07

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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.