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Finding the Fourth Proportional to 377.04, 564.92 and 232.44

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Solution

The fourth proportional to 377.04, 564.92 and 232.44 is: 348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.04 : 564.92 = 232.44 : x
  2. Step 2: Convert to fraction form
    377.04/564.92 = 232.44/x
  3. Step 3: Cross multiply
    377.04x = 564.92 × 232.44
  4. Step 4: Simplify right side
    377.04x = 131,310.00
  5. Step 5: Solve for x
    x = 131,310.00/377.04
  6. Step 6: Final answer
    x = 348.27

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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.