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Finding the Fourth Proportional to 398.39, 597.60 and 154.94

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Solution

The fourth proportional to 398.39, 597.60 and 154.94 is: 232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.39 : 597.60 = 154.94 : x
  2. Step 2: Convert to fraction form
    398.39/597.60 = 154.94/x
  3. Step 3: Cross multiply
    398.39x = 597.60 × 154.94
  4. Step 4: Simplify right side
    398.39x = 92,589.16
  5. Step 5: Solve for x
    x = 92,589.16/398.39
  6. Step 6: Final answer
    x = 232.41

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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.