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Finding the Fourth Proportional to 398.10, 596.40 and 244.11

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Solution

The fourth proportional to 398.10, 596.40 and 244.11 is: 365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.10 : 596.40 = 244.11 : x
  2. Step 2: Convert to fraction form
    398.10/596.40 = 244.11/x
  3. Step 3: Cross multiply
    398.10x = 596.40 × 244.11
  4. Step 4: Simplify right side
    398.10x = 145,587.20
  5. Step 5: Solve for x
    x = 145,587.20/398.10
  6. Step 6: Final answer
    x = 365.71

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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.