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Finding the Fourth Proportional to 362.62, 500.55 and 264.88

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Solution

The fourth proportional to 362.62, 500.55 and 264.88 is: 365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.62 : 500.55 = 264.88 : x
  2. Step 2: Convert to fraction form
    362.62/500.55 = 264.88/x
  3. Step 3: Cross multiply
    362.62x = 500.55 × 264.88
  4. Step 4: Simplify right side
    362.62x = 132,585.68
  5. Step 5: Solve for x
    x = 132,585.68/362.62
  6. Step 6: Final answer
    x = 365.63

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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.