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Finding the Fourth Proportional to 422.82, 583.17 and 282.89

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Solution

The fourth proportional to 422.82, 583.17 and 282.89 is: 390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.82 : 583.17 = 282.89 : x
  2. Step 2: Convert to fraction form
    422.82/583.17 = 282.89/x
  3. Step 3: Cross multiply
    422.82x = 583.17 × 282.89
  4. Step 4: Simplify right side
    422.82x = 164,972.96
  5. Step 5: Solve for x
    x = 164,972.96/422.82
  6. Step 6: Final answer
    x = 390.17

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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.