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Finding the Fourth Proportional to 600.80, 828.83 and 352.01

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Solution

The fourth proportional to 600.80, 828.83 and 352.01 is: 485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 828.83 = 352.01 : x
  2. Step 2: Convert to fraction form
    600.80/828.83 = 352.01/x
  3. Step 3: Cross multiply
    600.80x = 828.83 × 352.01
  4. Step 4: Simplify right side
    600.80x = 291,750.54
  5. Step 5: Solve for x
    x = 291,750.54/600.80
  6. Step 6: Final answer
    x = 485.61

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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.