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Finding the Fourth Proportional to 422.70, 583.20 and 265.49

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Solution

The fourth proportional to 422.70, 583.20 and 265.49 is: 366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.70 : 583.20 = 265.49 : x
  2. Step 2: Convert to fraction form
    422.70/583.20 = 265.49/x
  3. Step 3: Cross multiply
    422.70x = 583.20 × 265.49
  4. Step 4: Simplify right side
    422.70x = 154,833.04
  5. Step 5: Solve for x
    x = 154,833.04/422.70
  6. Step 6: Final answer
    x = 366.30

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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.