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Finding the Fourth Proportional to 600.12, 828.01 and 351.45

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Solution

The fourth proportional to 600.12, 828.01 and 351.45 is: 484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 828.01 = 351.45 : x
  2. Step 2: Convert to fraction form
    600.12/828.01 = 351.45/x
  3. Step 3: Cross multiply
    600.12x = 828.01 × 351.45
  4. Step 4: Simplify right side
    600.12x = 291,004.11
  5. Step 5: Solve for x
    x = 291,004.11/600.12
  6. Step 6: Final answer
    x = 484.91

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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.