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Finding the Fourth Proportional to 562.82, 843.81 and 216.02

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Solution

The fourth proportional to 562.82, 843.81 and 216.02 is: 323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 843.81 = 216.02 : x
  2. Step 2: Convert to fraction form
    562.82/843.81 = 216.02/x
  3. Step 3: Cross multiply
    562.82x = 843.81 × 216.02
  4. Step 4: Simplify right side
    562.82x = 182,279.84
  5. Step 5: Solve for x
    x = 182,279.84/562.82
  6. Step 6: Final answer
    x = 323.87

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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.