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Finding the Fourth Proportional to 758.32, 1,137.61 and 271.25

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Solution

The fourth proportional to 758.32, 1,137.61 and 271.25 is: 406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.32 : 1,137.61 = 271.25 : x
  2. Step 2: Convert to fraction form
    758.32/1,137.61 = 271.25/x
  3. Step 3: Cross multiply
    758.32x = 1,137.61 × 271.25
  4. Step 4: Simplify right side
    758.32x = 308,576.71
  5. Step 5: Solve for x
    x = 308,576.71/758.32
  6. Step 6: Final answer
    x = 406.92

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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.