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Finding the Fourth Proportional to 562.33, 775.83 and 341.20

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Solution

The fourth proportional to 562.33, 775.83 and 341.20 is: 470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.33 : 775.83 = 341.20 : x
  2. Step 2: Convert to fraction form
    562.33/775.83 = 341.20/x
  3. Step 3: Cross multiply
    562.33x = 775.83 × 341.20
  4. Step 4: Simplify right side
    562.33x = 264,713.20
  5. Step 5: Solve for x
    x = 264,713.20/562.33
  6. Step 6: Final answer
    x = 470.74

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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.