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Finding the Fourth Proportional to 362.72, 500.46 and 215.32

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Solution

The fourth proportional to 362.72, 500.46 and 215.32 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.72 : 500.46 = 215.32 : x
  2. Step 2: Convert to fraction form
    362.72/500.46 = 215.32/x
  3. Step 3: Cross multiply
    362.72x = 500.46 × 215.32
  4. Step 4: Simplify right side
    362.72x = 107,759.05
  5. Step 5: Solve for x
    x = 107,759.05/362.72
  6. Step 6: Final answer
    x = 297.09

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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.