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Finding the Fourth Proportional to 410.06, 566 and 252.74

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Solution

The fourth proportional to 410.06, 566 and 252.74 is: 348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 566 = 252.74 : x
  2. Step 2: Convert to fraction form
    410.06/566 = 252.74/x
  3. Step 3: Cross multiply
    410.06x = 566 × 252.74
  4. Step 4: Simplify right side
    410.06x = 143,050.84
  5. Step 5: Solve for x
    x = 143,050.84/410.06
  6. Step 6: Final answer
    x = 348.85

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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.