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Finding the Fourth Proportional to 398.20, 597.90 and 225.20

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Solution

The fourth proportional to 398.20, 597.90 and 225.20 is: 338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.20 : 597.90 = 225.20 : x
  2. Step 2: Convert to fraction form
    398.20/597.90 = 225.20/x
  3. Step 3: Cross multiply
    398.20x = 597.90 × 225.20
  4. Step 4: Simplify right side
    398.20x = 134,647.08
  5. Step 5: Solve for x
    x = 134,647.08/398.20
  6. Step 6: Final answer
    x = 338.14

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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.