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Finding the Fourth Proportional to 562.12, 843.32 and 232.84

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Solution

The fourth proportional to 562.12, 843.32 and 232.84 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.12 : 843.32 = 232.84 : x
  2. Step 2: Convert to fraction form
    562.12/843.32 = 232.84/x
  3. Step 3: Cross multiply
    562.12x = 843.32 × 232.84
  4. Step 4: Simplify right side
    562.12x = 196,358.63
  5. Step 5: Solve for x
    x = 196,358.63/562.12
  6. Step 6: Final answer
    x = 349.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.