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Finding the Fourth Proportional to 600.30, 828.69 and 351.54

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Solution

The fourth proportional to 600.30, 828.69 and 351.54 is: 485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 828.69 = 351.54 : x
  2. Step 2: Convert to fraction form
    600.30/828.69 = 351.54/x
  3. Step 3: Cross multiply
    600.30x = 828.69 × 351.54
  4. Step 4: Simplify right side
    600.30x = 291,317.68
  5. Step 5: Solve for x
    x = 291,317.68/600.30
  6. Step 6: Final answer
    x = 485.29

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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.