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Finding the Fourth Proportional to 398.30, 597.00 and 154.62

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Solution

The fourth proportional to 398.30, 597.00 and 154.62 is: 231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.30 : 597.00 = 154.62 : x
  2. Step 2: Convert to fraction form
    398.30/597.00 = 154.62/x
  3. Step 3: Cross multiply
    398.30x = 597.00 × 154.62
  4. Step 4: Simplify right side
    398.30x = 92,305.74
  5. Step 5: Solve for x
    x = 92,305.74/398.30
  6. Step 6: Final answer
    x = 231.75

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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.