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Finding the Fourth Proportional to 610.81, 842.90 and 362.14

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Solution

The fourth proportional to 610.81, 842.90 and 362.14 is: 499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.81 : 842.90 = 362.14 : x
  2. Step 2: Convert to fraction form
    610.81/842.90 = 362.14/x
  3. Step 3: Cross multiply
    610.81x = 842.90 × 362.14
  4. Step 4: Simplify right side
    610.81x = 305,243.89
  5. Step 5: Solve for x
    x = 305,243.89/610.81
  6. Step 6: Final answer
    x = 499.74

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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.