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Finding the Fourth Proportional to 610.38, 842.32 and 361.78

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Solution

The fourth proportional to 610.38, 842.32 and 361.78 is: 499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.38 : 842.32 = 361.78 : x
  2. Step 2: Convert to fraction form
    610.38/842.32 = 361.78/x
  3. Step 3: Cross multiply
    610.38x = 842.32 × 361.78
  4. Step 4: Simplify right side
    610.38x = 304,734.53
  5. Step 5: Solve for x
    x = 304,734.53/610.38
  6. Step 6: Final answer
    x = 499.25

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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.