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Finding the Fourth Proportional to 397.98, 596.28 and 282.22

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Solution

The fourth proportional to 397.98, 596.28 and 282.22 is: 422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 596.28 = 282.22 : x
  2. Step 2: Convert to fraction form
    397.98/596.28 = 282.22/x
  3. Step 3: Cross multiply
    397.98x = 596.28 × 282.22
  4. Step 4: Simplify right side
    397.98x = 168,282.14
  5. Step 5: Solve for x
    x = 168,282.14/397.98
  6. Step 6: Final answer
    x = 422.84

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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.