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Finding the Fourth Proportional to 600.27, 900.82 and 230.03

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Solution

The fourth proportional to 600.27, 900.82 and 230.03 is: 345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.27 : 900.82 = 230.03 : x
  2. Step 2: Convert to fraction form
    600.27/900.82 = 230.03/x
  3. Step 3: Cross multiply
    600.27x = 900.82 × 230.03
  4. Step 4: Simplify right side
    600.27x = 207,215.62
  5. Step 5: Solve for x
    x = 207,215.62/600.27
  6. Step 6: Final answer
    x = 345.20

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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.