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Finding the Fourth Proportional to 422.92, 583.55 and 248.30

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Solution

The fourth proportional to 422.92, 583.55 and 248.30 is: 342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 583.55 = 248.30 : x
  2. Step 2: Convert to fraction form
    422.92/583.55 = 248.30/x
  3. Step 3: Cross multiply
    422.92x = 583.55 × 248.30
  4. Step 4: Simplify right side
    422.92x = 144,892.55
  5. Step 5: Solve for x
    x = 144,892.55/422.92
  6. Step 6: Final answer
    x = 342.60

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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.