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Finding the Fourth Proportional to 723.48, 998.45 and 428.78

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Solution

The fourth proportional to 723.48, 998.45 and 428.78 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.48 : 998.45 = 428.78 : x
  2. Step 2: Convert to fraction form
    723.48/998.45 = 428.78/x
  3. Step 3: Cross multiply
    723.48x = 998.45 × 428.78
  4. Step 4: Simplify right side
    723.48x = 428,108.25
  5. Step 5: Solve for x
    x = 428,108.25/723.48
  6. Step 6: Final answer
    x = 591.73

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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.