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Finding the Fourth Proportional to 600.11, 828.53 and 459.97

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Solution

The fourth proportional to 600.11, 828.53 and 459.97 is: 635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.11 : 828.53 = 459.97 : x
  2. Step 2: Convert to fraction form
    600.11/828.53 = 459.97/x
  3. Step 3: Cross multiply
    600.11x = 828.53 × 459.97
  4. Step 4: Simplify right side
    600.11x = 381,098.94
  5. Step 5: Solve for x
    x = 381,098.94/600.11
  6. Step 6: Final answer
    x = 635.05

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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.