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Finding the Fourth Proportional to 410.24, 566 and 233.18

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Solution

The fourth proportional to 410.24, 566 and 233.18 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 566 = 233.18 : x
  2. Step 2: Convert to fraction form
    410.24/566 = 233.18/x
  3. Step 3: Cross multiply
    410.24x = 566 × 233.18
  4. Step 4: Simplify right side
    410.24x = 131,979.88
  5. Step 5: Solve for x
    x = 131,979.88/410.24
  6. Step 6: Final answer
    x = 321.71

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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.