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Finding the Fourth Proportional to 402.57, 603.45 and 219.78

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Solution

The fourth proportional to 402.57, 603.45 and 219.78 is: 329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.57 : 603.45 = 219.78 : x
  2. Step 2: Convert to fraction form
    402.57/603.45 = 219.78/x
  3. Step 3: Cross multiply
    402.57x = 603.45 × 219.78
  4. Step 4: Simplify right side
    402.57x = 132,626.24
  5. Step 5: Solve for x
    x = 132,626.24/402.57
  6. Step 6: Final answer
    x = 329.45

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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.