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Finding the Fourth Proportional to 312.28, 431.13 and 207.51

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Solution

The fourth proportional to 312.28, 431.13 and 207.51 is: 286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 431.13 = 207.51 : x
  2. Step 2: Convert to fraction form
    312.28/431.13 = 207.51/x
  3. Step 3: Cross multiply
    312.28x = 431.13 × 207.51
  4. Step 4: Simplify right side
    312.28x = 89,462.75
  5. Step 5: Solve for x
    x = 89,462.75/312.28
  6. Step 6: Final answer
    x = 286.48

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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.