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Finding the Fourth Proportional to 600.38, 828.53 and 351.61

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Solution

The fourth proportional to 600.38, 828.53 and 351.61 is: 485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.38 : 828.53 = 351.61 : x
  2. Step 2: Convert to fraction form
    600.38/828.53 = 351.61/x
  3. Step 3: Cross multiply
    600.38x = 828.53 × 351.61
  4. Step 4: Simplify right side
    600.38x = 291,316.92
  5. Step 5: Solve for x
    x = 291,316.92/600.38
  6. Step 6: Final answer
    x = 485.22

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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.