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Finding the Fourth Proportional to 610.33, 842.07 and 361.71

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Solution

The fourth proportional to 610.33, 842.07 and 361.71 is: 499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.33 : 842.07 = 361.71 : x
  2. Step 2: Convert to fraction form
    610.33/842.07 = 361.71/x
  3. Step 3: Cross multiply
    610.33x = 842.07 × 361.71
  4. Step 4: Simplify right side
    610.33x = 304,585.14
  5. Step 5: Solve for x
    x = 304,585.14/610.33
  6. Step 6: Final answer
    x = 499.05

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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.