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Finding the Fourth Proportional to 562.16, 842.54 and 331.22

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Solution

The fourth proportional to 562.16, 842.54 and 331.22 is: 496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.16 : 842.54 = 331.22 : x
  2. Step 2: Convert to fraction form
    562.16/842.54 = 331.22/x
  3. Step 3: Cross multiply
    562.16x = 842.54 × 331.22
  4. Step 4: Simplify right side
    562.16x = 279,062.71
  5. Step 5: Solve for x
    x = 279,062.71/562.16
  6. Step 6: Final answer
    x = 496.41

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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.