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Finding the Fourth Proportional to 422.35, 582.84 and 242.92

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Solution

The fourth proportional to 422.35, 582.84 and 242.92 is: 335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.35 : 582.84 = 242.92 : x
  2. Step 2: Convert to fraction form
    422.35/582.84 = 242.92/x
  3. Step 3: Cross multiply
    422.35x = 582.84 × 242.92
  4. Step 4: Simplify right side
    422.35x = 141,583.49
  5. Step 5: Solve for x
    x = 141,583.49/422.35
  6. Step 6: Final answer
    x = 335.23

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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.