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Finding the Fourth Proportional to 410.61, 566.78 and 271.11

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Solution

The fourth proportional to 410.61, 566.78 and 271.11 is: 374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.61 : 566.78 = 271.11 : x
  2. Step 2: Convert to fraction form
    410.61/566.78 = 271.11/x
  3. Step 3: Cross multiply
    410.61x = 566.78 × 271.11
  4. Step 4: Simplify right side
    410.61x = 153,659.73
  5. Step 5: Solve for x
    x = 153,659.73/410.61
  6. Step 6: Final answer
    x = 374.22

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Why These Related Problems?

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