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Finding the Fourth Proportional to 410.13, 565.83 and 252.66

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Solution

The fourth proportional to 410.13, 565.83 and 252.66 is: 348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.13 : 565.83 = 252.66 : x
  2. Step 2: Convert to fraction form
    410.13/565.83 = 252.66/x
  3. Step 3: Cross multiply
    410.13x = 565.83 × 252.66
  4. Step 4: Simplify right side
    410.13x = 142,962.61
  5. Step 5: Solve for x
    x = 142,962.61/410.13
  6. Step 6: Final answer
    x = 348.58

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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.