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Finding the Fourth Proportional to 600.89, 901.46 and 308.41

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Solution

The fourth proportional to 600.89, 901.46 and 308.41 is: 462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 901.46 = 308.41 : x
  2. Step 2: Convert to fraction form
    600.89/901.46 = 308.41/x
  3. Step 3: Cross multiply
    600.89x = 901.46 × 308.41
  4. Step 4: Simplify right side
    600.89x = 278,017.80
  5. Step 5: Solve for x
    x = 278,017.80/600.89
  6. Step 6: Final answer
    x = 462.68

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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.