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Finding the Fourth Proportional to 427.12, 588.48 and 310.48

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Solution

The fourth proportional to 427.12, 588.48 and 310.48 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 588.48 = 310.48 : x
  2. Step 2: Convert to fraction form
    427.12/588.48 = 310.48/x
  3. Step 3: Cross multiply
    427.12x = 588.48 × 310.48
  4. Step 4: Simplify right side
    427.12x = 182,711.27
  5. Step 5: Solve for x
    x = 182,711.27/427.12
  6. Step 6: Final answer
    x = 427.78

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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.