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Finding the Fourth Proportional to 422.84, 583.46 and 340.20

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Solution

The fourth proportional to 422.84, 583.46 and 340.20 is: 469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.84 : 583.46 = 340.20 : x
  2. Step 2: Convert to fraction form
    422.84/583.46 = 340.20/x
  3. Step 3: Cross multiply
    422.84x = 583.46 × 340.20
  4. Step 4: Simplify right side
    422.84x = 198,493.09
  5. Step 5: Solve for x
    x = 198,493.09/422.84
  6. Step 6: Final answer
    x = 469.43

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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.