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Finding the Fourth Proportional to 362.78, 500.46 and 207.52

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Solution

The fourth proportional to 362.78, 500.46 and 207.52 is: 286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.78 : 500.46 = 207.52 : x
  2. Step 2: Convert to fraction form
    362.78/500.46 = 207.52/x
  3. Step 3: Cross multiply
    362.78x = 500.46 × 207.52
  4. Step 4: Simplify right side
    362.78x = 103,855.46
  5. Step 5: Solve for x
    x = 103,855.46/362.78
  6. Step 6: Final answer
    x = 286.28

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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.