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Finding the Fourth Proportional to 422.71, 583.62 and 283.01

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Solution

The fourth proportional to 422.71, 583.62 and 283.01 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.71 : 583.62 = 283.01 : x
  2. Step 2: Convert to fraction form
    422.71/583.62 = 283.01/x
  3. Step 3: Cross multiply
    422.71x = 583.62 × 283.01
  4. Step 4: Simplify right side
    422.71x = 165,170.30
  5. Step 5: Solve for x
    x = 165,170.30/422.71
  6. Step 6: Final answer
    x = 390.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.