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Finding the Fourth Proportional to 362.96, 500.91 and 207.71

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Solution

The fourth proportional to 362.96, 500.91 and 207.71 is: 286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.96 : 500.91 = 207.71 : x
  2. Step 2: Convert to fraction form
    362.96/500.91 = 207.71/x
  3. Step 3: Cross multiply
    362.96x = 500.91 × 207.71
  4. Step 4: Simplify right side
    362.96x = 104,044.02
  5. Step 5: Solve for x
    x = 104,044.02/362.96
  6. Step 6: Final answer
    x = 286.65

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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.