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Finding the Fourth Proportional to 410.18, 566.01 and 252.77

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Solution

The fourth proportional to 410.18, 566.01 and 252.77 is: 348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.18 : 566.01 = 252.77 : x
  2. Step 2: Convert to fraction form
    410.18/566.01 = 252.77/x
  3. Step 3: Cross multiply
    410.18x = 566.01 × 252.77
  4. Step 4: Simplify right side
    410.18x = 143,067.52
  5. Step 5: Solve for x
    x = 143,067.52/410.18
  6. Step 6: Final answer
    x = 348.80

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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.