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Finding the Fourth Proportional to 719.18, 1,078.92 and 232.27

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Solution

The fourth proportional to 719.18, 1,078.92 and 232.27 is: 348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.18 : 1,078.92 = 232.27 : x
  2. Step 2: Convert to fraction form
    719.18/1,078.92 = 232.27/x
  3. Step 3: Cross multiply
    719.18x = 1,078.92 × 232.27
  4. Step 4: Simplify right side
    719.18x = 250,598.05
  5. Step 5: Solve for x
    x = 250,598.05/719.18
  6. Step 6: Final answer
    x = 348.45

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Why These Related Problems?

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