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Finding the Fourth Proportional to 409.20, 563.40 and 344.40

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Solution

The fourth proportional to 409.20, 563.40 and 344.40 is: 474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.20 : 563.40 = 344.40 : x
  2. Step 2: Convert to fraction form
    409.20/563.40 = 344.40/x
  3. Step 3: Cross multiply
    409.20x = 563.40 × 344.40
  4. Step 4: Simplify right side
    409.20x = 194,034.96
  5. Step 5: Solve for x
    x = 194,034.96/409.20
  6. Step 6: Final answer
    x = 474.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.