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Finding the Fourth Proportional to 725.19, 1,088.01 and 238.31

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Solution

The fourth proportional to 725.19, 1,088.01 and 238.31 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.19 : 1,088.01 = 238.31 : x
  2. Step 2: Convert to fraction form
    725.19/1,088.01 = 238.31/x
  3. Step 3: Cross multiply
    725.19x = 1,088.01 × 238.31
  4. Step 4: Simplify right side
    725.19x = 259,278.22
  5. Step 5: Solve for x
    x = 259,278.22/725.19
  6. Step 6: Final answer
    x = 357.53

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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.