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Finding the Fourth Proportional to 312.63, 431.55 and 207.81

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Solution

The fourth proportional to 312.63, 431.55 and 207.81 is: 286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.63 : 431.55 = 207.81 : x
  2. Step 2: Convert to fraction form
    312.63/431.55 = 207.81/x
  3. Step 3: Cross multiply
    312.63x = 431.55 × 207.81
  4. Step 4: Simplify right side
    312.63x = 89,680.41
  5. Step 5: Solve for x
    x = 89,680.41/312.63
  6. Step 6: Final answer
    x = 286.86

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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.