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Finding the Fourth Proportional to 601.96, 902.26 and 308.59

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Solution

The fourth proportional to 601.96, 902.26 and 308.59 is: 462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.96 : 902.26 = 308.59 : x
  2. Step 2: Convert to fraction form
    601.96/902.26 = 308.59/x
  3. Step 3: Cross multiply
    601.96x = 902.26 × 308.59
  4. Step 4: Simplify right side
    601.96x = 278,432.49
  5. Step 5: Solve for x
    x = 278,432.49/601.96
  6. Step 6: Final answer
    x = 462.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.