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Finding the Fourth Proportional to 719.51, 1,079.42 and 232.61

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Solution

The fourth proportional to 719.51, 1,079.42 and 232.61 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.51 : 1,079.42 = 232.61 : x
  2. Step 2: Convert to fraction form
    719.51/1,079.42 = 232.61/x
  3. Step 3: Cross multiply
    719.51x = 1,079.42 × 232.61
  4. Step 4: Simplify right side
    719.51x = 251,077.33
  5. Step 5: Solve for x
    x = 251,077.33/719.51
  6. Step 6: Final answer
    x = 348.96

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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.