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Finding the Fourth Proportional to 600.68, 828.54 and 460.82

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Solution

The fourth proportional to 600.68, 828.54 and 460.82 is: 635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.68 : 828.54 = 460.82 : x
  2. Step 2: Convert to fraction form
    600.68/828.54 = 460.82/x
  3. Step 3: Cross multiply
    600.68x = 828.54 × 460.82
  4. Step 4: Simplify right side
    600.68x = 381,807.80
  5. Step 5: Solve for x
    x = 381,807.80/600.68
  6. Step 6: Final answer
    x = 635.63

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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.