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Finding the Fourth Proportional to 723.19, 998.01 and 391.61

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Solution

The fourth proportional to 723.19, 998.01 and 391.61 is: 540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.19 : 998.01 = 391.61 : x
  2. Step 2: Convert to fraction form
    723.19/998.01 = 391.61/x
  3. Step 3: Cross multiply
    723.19x = 998.01 × 391.61
  4. Step 4: Simplify right side
    723.19x = 390,829.83
  5. Step 5: Solve for x
    x = 390,829.83/723.19
  6. Step 6: Final answer
    x = 540.42

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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.