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Finding the Fourth Proportional to 398.15, 597.00 and 154.47

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Solution

The fourth proportional to 398.15, 597.00 and 154.47 is: 231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.15 : 597.00 = 154.47 : x
  2. Step 2: Convert to fraction form
    398.15/597.00 = 154.47/x
  3. Step 3: Cross multiply
    398.15x = 597.00 × 154.47
  4. Step 4: Simplify right side
    398.15x = 92,221.41
  5. Step 5: Solve for x
    x = 92,221.41/398.15
  6. Step 6: Final answer
    x = 231.63

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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.