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Finding the Fourth Proportional to 425.40, 638.34 and 230.40

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Solution

The fourth proportional to 425.40, 638.34 and 230.40 is: 345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.40 : 638.34 = 230.40 : x
  2. Step 2: Convert to fraction form
    425.40/638.34 = 230.40/x
  3. Step 3: Cross multiply
    425.40x = 638.34 × 230.40
  4. Step 4: Simplify right side
    425.40x = 147,073.97
  5. Step 5: Solve for x
    x = 147,073.97/425.40
  6. Step 6: Final answer
    x = 345.73

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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.