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Finding the Fourth Proportional to 422.92, 583.14 and 319.24

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Solution

The fourth proportional to 422.92, 583.14 and 319.24 is: 440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 583.14 = 319.24 : x
  2. Step 2: Convert to fraction form
    422.92/583.14 = 319.24/x
  3. Step 3: Cross multiply
    422.92x = 583.14 × 319.24
  4. Step 4: Simplify right side
    422.92x = 186,161.61
  5. Step 5: Solve for x
    x = 186,161.61/422.92
  6. Step 6: Final answer
    x = 440.18

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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.