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Finding the Fourth Proportional to 408.61, 563.82 and 242.79

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Solution

The fourth proportional to 408.61, 563.82 and 242.79 is: 335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.61 : 563.82 = 242.79 : x
  2. Step 2: Convert to fraction form
    408.61/563.82 = 242.79/x
  3. Step 3: Cross multiply
    408.61x = 563.82 × 242.79
  4. Step 4: Simplify right side
    408.61x = 136,889.06
  5. Step 5: Solve for x
    x = 136,889.06/408.61
  6. Step 6: Final answer
    x = 335.01

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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.