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Finding the Fourth Proportional to 398.11, 596.26 and 282.16

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Solution

The fourth proportional to 398.11, 596.26 and 282.16 is: 422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.11 : 596.26 = 282.16 : x
  2. Step 2: Convert to fraction form
    398.11/596.26 = 282.16/x
  3. Step 3: Cross multiply
    398.11x = 596.26 × 282.16
  4. Step 4: Simplify right side
    398.11x = 168,240.72
  5. Step 5: Solve for x
    x = 168,240.72/398.11
  6. Step 6: Final answer
    x = 422.60

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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.