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Finding the Fourth Proportional to 362.86, 500.79 and 207.64

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Solution

The fourth proportional to 362.86, 500.79 and 207.64 is: 286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.86 : 500.79 = 207.64 : x
  2. Step 2: Convert to fraction form
    362.86/500.79 = 207.64/x
  3. Step 3: Cross multiply
    362.86x = 500.79 × 207.64
  4. Step 4: Simplify right side
    362.86x = 103,984.04
  5. Step 5: Solve for x
    x = 103,984.04/362.86
  6. Step 6: Final answer
    x = 286.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.