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Finding the Fourth Proportional to 600.38, 900.92 and 258.38

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Solution

The fourth proportional to 600.38, 900.92 and 258.38 is: 387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.38 : 900.92 = 258.38 : x
  2. Step 2: Convert to fraction form
    600.38/900.92 = 258.38/x
  3. Step 3: Cross multiply
    600.38x = 900.92 × 258.38
  4. Step 4: Simplify right side
    600.38x = 232,775.85
  5. Step 5: Solve for x
    x = 232,775.85/600.38
  6. Step 6: Final answer
    x = 387.72

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