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Finding the Fourth Proportional to 362.15, 499.82 and 231.24

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Solution

The fourth proportional to 362.15, 499.82 and 231.24 is: 319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.15 : 499.82 = 231.24 : x
  2. Step 2: Convert to fraction form
    362.15/499.82 = 231.24/x
  3. Step 3: Cross multiply
    362.15x = 499.82 × 231.24
  4. Step 4: Simplify right side
    362.15x = 115,577.22
  5. Step 5: Solve for x
    x = 115,577.22/362.15
  6. Step 6: Final answer
    x = 319.15

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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.