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Finding the Fourth Proportional to 376.72, 564.12 and 261.52

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Solution

The fourth proportional to 376.72, 564.12 and 261.52 is: 391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.72 : 564.12 = 261.52 : x
  2. Step 2: Convert to fraction form
    376.72/564.12 = 261.52/x
  3. Step 3: Cross multiply
    376.72x = 564.12 × 261.52
  4. Step 4: Simplify right side
    376.72x = 147,528.66
  5. Step 5: Solve for x
    x = 147,528.66/376.72
  6. Step 6: Final answer
    x = 391.61

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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.