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Finding the Fourth Proportional to 723.72, 998.28 and 428.92

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Solution

The fourth proportional to 723.72, 998.28 and 428.92 is: 591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.72 : 998.28 = 428.92 : x
  2. Step 2: Convert to fraction form
    723.72/998.28 = 428.92/x
  3. Step 3: Cross multiply
    723.72x = 998.28 × 428.92
  4. Step 4: Simplify right side
    723.72x = 428,182.26
  5. Step 5: Solve for x
    x = 428,182.26/723.72
  6. Step 6: Final answer
    x = 591.64

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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.