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Finding the Fourth Proportional to 408.61, 563.91 and 242.85

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Solution

The fourth proportional to 408.61, 563.91 and 242.85 is: 335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.61 : 563.91 = 242.85 : x
  2. Step 2: Convert to fraction form
    408.61/563.91 = 242.85/x
  3. Step 3: Cross multiply
    408.61x = 563.91 × 242.85
  4. Step 4: Simplify right side
    408.61x = 136,945.54
  5. Step 5: Solve for x
    x = 136,945.54/408.61
  6. Step 6: Final answer
    x = 335.15

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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.