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Finding the Fourth Proportional to 410.32, 566.08 and 252.91

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Solution

The fourth proportional to 410.32, 566.08 and 252.91 is: 348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 566.08 = 252.91 : x
  2. Step 2: Convert to fraction form
    410.32/566.08 = 252.91/x
  3. Step 3: Cross multiply
    410.32x = 566.08 × 252.91
  4. Step 4: Simplify right side
    410.32x = 143,163.20
  5. Step 5: Solve for x
    x = 143,163.20/410.32
  6. Step 6: Final answer
    x = 348.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.