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Finding the Fourth Proportional to 610.68, 842.74 and 362.13

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Solution

The fourth proportional to 610.68, 842.74 and 362.13 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.68 : 842.74 = 362.13 : x
  2. Step 2: Convert to fraction form
    610.68/842.74 = 362.13/x
  3. Step 3: Cross multiply
    610.68x = 842.74 × 362.13
  4. Step 4: Simplify right side
    610.68x = 305,178.13
  5. Step 5: Solve for x
    x = 305,178.13/610.68
  6. Step 6: Final answer
    x = 499.73

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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.