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Finding the Fourth Proportional to 410.24, 566.13 and 252.86

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Solution

The fourth proportional to 410.24, 566.13 and 252.86 is: 348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 566.13 = 252.86 : x
  2. Step 2: Convert to fraction form
    410.24/566.13 = 252.86/x
  3. Step 3: Cross multiply
    410.24x = 566.13 × 252.86
  4. Step 4: Simplify right side
    410.24x = 143,151.63
  5. Step 5: Solve for x
    x = 143,151.63/410.24
  6. Step 6: Final answer
    x = 348.95

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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.