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Finding the Fourth Proportional to 398.68, 597.87 and 155.29

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Solution

The fourth proportional to 398.68, 597.87 and 155.29 is: 232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.68 : 597.87 = 155.29 : x
  2. Step 2: Convert to fraction form
    398.68/597.87 = 155.29/x
  3. Step 3: Cross multiply
    398.68x = 597.87 × 155.29
  4. Step 4: Simplify right side
    398.68x = 92,843.23
  5. Step 5: Solve for x
    x = 92,843.23/398.68
  6. Step 6: Final answer
    x = 232.88

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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.