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Finding the Fourth Proportional to 723.74, 998.44 and 428.84

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Solution

The fourth proportional to 723.74, 998.44 and 428.84 is: 591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.74 : 998.44 = 428.84 : x
  2. Step 2: Convert to fraction form
    723.74/998.44 = 428.84/x
  3. Step 3: Cross multiply
    723.74x = 998.44 × 428.84
  4. Step 4: Simplify right side
    723.74x = 428,176.72
  5. Step 5: Solve for x
    x = 428,176.72/723.74
  6. Step 6: Final answer
    x = 591.62

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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.