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Finding the Fourth Proportional to 314.46, 431.28 and 310.86

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Solution

The fourth proportional to 314.46, 431.28 and 310.86 is: 426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 431.28 = 310.86 : x
  2. Step 2: Convert to fraction form
    314.46/431.28 = 310.86/x
  3. Step 3: Cross multiply
    314.46x = 431.28 × 310.86
  4. Step 4: Simplify right side
    314.46x = 134,067.70
  5. Step 5: Solve for x
    x = 134,067.70/314.46
  6. Step 6: Final answer
    x = 426.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.