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Finding the Fourth Proportional to 422.87, 584.12 and 340.29

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Solution

The fourth proportional to 422.87, 584.12 and 340.29 is: 470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.87 : 584.12 = 340.29 : x
  2. Step 2: Convert to fraction form
    422.87/584.12 = 340.29/x
  3. Step 3: Cross multiply
    422.87x = 584.12 × 340.29
  4. Step 4: Simplify right side
    422.87x = 198,772.51
  5. Step 5: Solve for x
    x = 198,772.51/422.87
  6. Step 6: Final answer
    x = 470.06

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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.