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Finding the Fourth Proportional to 410.43, 566.39 and 263.15

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Solution

The fourth proportional to 410.43, 566.39 and 263.15 is: 363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 566.39 = 263.15 : x
  2. Step 2: Convert to fraction form
    410.43/566.39 = 263.15/x
  3. Step 3: Cross multiply
    410.43x = 566.39 × 263.15
  4. Step 4: Simplify right side
    410.43x = 149,042.70
  5. Step 5: Solve for x
    x = 149,042.70/410.43
  6. Step 6: Final answer
    x = 363.14

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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.