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Finding the Fourth Proportional to 610.83, 842.94 and 362.12

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Solution

The fourth proportional to 610.83, 842.94 and 362.12 is: 499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.83 : 842.94 = 362.12 : x
  2. Step 2: Convert to fraction form
    610.83/842.94 = 362.12/x
  3. Step 3: Cross multiply
    610.83x = 842.94 × 362.12
  4. Step 4: Simplify right side
    610.83x = 305,241.22
  5. Step 5: Solve for x
    x = 305,241.22/610.83
  6. Step 6: Final answer
    x = 499.72

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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.