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Finding the Fourth Proportional to 398.48, 596.32 and 244.36

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Solution

The fourth proportional to 398.48, 596.32 and 244.36 is: 365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.48 : 596.32 = 244.36 : x
  2. Step 2: Convert to fraction form
    398.48/596.32 = 244.36/x
  3. Step 3: Cross multiply
    398.48x = 596.32 × 244.36
  4. Step 4: Simplify right side
    398.48x = 145,716.76
  5. Step 5: Solve for x
    x = 145,716.76/398.48
  6. Step 6: Final answer
    x = 365.68

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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.