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Finding the Fourth Proportional to 562.42, 775.92 and 341.20

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Solution

The fourth proportional to 562.42, 775.92 and 341.20 is: 470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.42 : 775.92 = 341.20 : x
  2. Step 2: Convert to fraction form
    562.42/775.92 = 341.20/x
  3. Step 3: Cross multiply
    562.42x = 775.92 × 341.20
  4. Step 4: Simplify right side
    562.42x = 264,743.90
  5. Step 5: Solve for x
    x = 264,743.90/562.42
  6. Step 6: Final answer
    x = 470.72

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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.