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Finding the Fourth Proportional to 422.74, 583.50 and 282.88

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Solution

The fourth proportional to 422.74, 583.50 and 282.88 is: 390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.74 : 583.50 = 282.88 : x
  2. Step 2: Convert to fraction form
    422.74/583.50 = 282.88/x
  3. Step 3: Cross multiply
    422.74x = 583.50 × 282.88
  4. Step 4: Simplify right side
    422.74x = 165,060.48
  5. Step 5: Solve for x
    x = 165,060.48/422.74
  6. Step 6: Final answer
    x = 390.45

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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.