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Finding the Fourth Proportional to 719.48, 1,078.72 and 232.27

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Solution

The fourth proportional to 719.48, 1,078.72 and 232.27 is: 348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.48 : 1,078.72 = 232.27 : x
  2. Step 2: Convert to fraction form
    719.48/1,078.72 = 232.27/x
  3. Step 3: Cross multiply
    719.48x = 1,078.72 × 232.27
  4. Step 4: Simplify right side
    719.48x = 250,551.02
  5. Step 5: Solve for x
    x = 250,551.02/719.48
  6. Step 6: Final answer
    x = 348.24

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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.