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Finding the Fourth Proportional to 398.72, 598.11 and 106.22

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Solution

The fourth proportional to 398.72, 598.11 and 106.22 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.72 : 598.11 = 106.22 : x
  2. Step 2: Convert to fraction form
    398.72/598.11 = 106.22/x
  3. Step 3: Cross multiply
    398.72x = 598.11 × 106.22
  4. Step 4: Simplify right side
    398.72x = 63,527.72
  5. Step 5: Solve for x
    x = 63,527.72/398.72
  6. Step 6: Final answer
    x = 159.33

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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.