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Finding the Fourth Proportional to 610.83, 843.06 and 362.14

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Solution

The fourth proportional to 610.83, 843.06 and 362.14 is: 499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.83 : 843.06 = 362.14 : x
  2. Step 2: Convert to fraction form
    610.83/843.06 = 362.14/x
  3. Step 3: Cross multiply
    610.83x = 843.06 × 362.14
  4. Step 4: Simplify right side
    610.83x = 305,305.75
  5. Step 5: Solve for x
    x = 305,305.75/610.83
  6. Step 6: Final answer
    x = 499.82

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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.