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Finding the Fourth Proportional to 724.83, 1,087.20 and 238.20

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Solution

The fourth proportional to 724.83, 1,087.20 and 238.20 is: 357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.83 : 1,087.20 = 238.20 : x
  2. Step 2: Convert to fraction form
    724.83/1,087.20 = 238.20/x
  3. Step 3: Cross multiply
    724.83x = 1,087.20 × 238.20
  4. Step 4: Simplify right side
    724.83x = 258,971.04
  5. Step 5: Solve for x
    x = 258,971.04/724.83
  6. Step 6: Final answer
    x = 357.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.