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Finding the Fourth Proportional to 362.97, 500.45 and 288.86

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Solution

The fourth proportional to 362.97, 500.45 and 288.86 is: 398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.97 : 500.45 = 288.86 : x
  2. Step 2: Convert to fraction form
    362.97/500.45 = 288.86/x
  3. Step 3: Cross multiply
    362.97x = 500.45 × 288.86
  4. Step 4: Simplify right side
    362.97x = 144,556.04
  5. Step 5: Solve for x
    x = 144,556.04/362.97
  6. Step 6: Final answer
    x = 398.26

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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.