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Finding the Fourth Proportional to 410, 566.04 and 272.24

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Solution

The fourth proportional to 410, 566.04 and 272.24 is: 375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 566.04 = 272.24 : x
  2. Step 2: Convert to fraction form
    410/566.04 = 272.24/x
  3. Step 3: Cross multiply
    410x = 566.04 × 272.24
  4. Step 4: Simplify right side
    410x = 154,098.73
  5. Step 5: Solve for x
    x = 154,098.73/410
  6. Step 6: Final answer
    x = 375.85

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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.