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Finding the Fourth Proportional to 408.70, 564.03 and 242.92

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Solution

The fourth proportional to 408.70, 564.03 and 242.92 is: 335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.70 : 564.03 = 242.92 : x
  2. Step 2: Convert to fraction form
    408.70/564.03 = 242.92/x
  3. Step 3: Cross multiply
    408.70x = 564.03 × 242.92
  4. Step 4: Simplify right side
    408.70x = 137,014.17
  5. Step 5: Solve for x
    x = 137,014.17/408.70
  6. Step 6: Final answer
    x = 335.24

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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.