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Finding the Fourth Proportional to 398.23, 597.95 and 252.90

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Solution

The fourth proportional to 398.23, 597.95 and 252.90 is: 379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.23 : 597.95 = 252.90 : x
  2. Step 2: Convert to fraction form
    398.23/597.95 = 252.90/x
  3. Step 3: Cross multiply
    398.23x = 597.95 × 252.90
  4. Step 4: Simplify right side
    398.23x = 151,221.56
  5. Step 5: Solve for x
    x = 151,221.56/398.23
  6. Step 6: Final answer
    x = 379.73

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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.