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Finding the Fourth Proportional to 562.15, 775.60 and 341.29

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Solution

The fourth proportional to 562.15, 775.60 and 341.29 is: 470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.15 : 775.60 = 341.29 : x
  2. Step 2: Convert to fraction form
    562.15/775.60 = 341.29/x
  3. Step 3: Cross multiply
    562.15x = 775.60 × 341.29
  4. Step 4: Simplify right side
    562.15x = 264,704.52
  5. Step 5: Solve for x
    x = 264,704.52/562.15
  6. Step 6: Final answer
    x = 470.88

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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.