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Finding the Fourth Proportional to 398.09, 596.85 and 154.64

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Solution

The fourth proportional to 398.09, 596.85 and 154.64 is: 231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.09 : 596.85 = 154.64 : x
  2. Step 2: Convert to fraction form
    398.09/596.85 = 154.64/x
  3. Step 3: Cross multiply
    398.09x = 596.85 × 154.64
  4. Step 4: Simplify right side
    398.09x = 92,293.90
  5. Step 5: Solve for x
    x = 92,293.90/398.09
  6. Step 6: Final answer
    x = 231.84

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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.