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Finding the Fourth Proportional to 600.79, 828.34 and 496.30

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Solution

The fourth proportional to 600.79, 828.34 and 496.30 is: 684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.79 : 828.34 = 496.30 : x
  2. Step 2: Convert to fraction form
    600.79/828.34 = 496.30/x
  3. Step 3: Cross multiply
    600.79x = 828.34 × 496.30
  4. Step 4: Simplify right side
    600.79x = 411,105.14
  5. Step 5: Solve for x
    x = 411,105.14/600.79
  6. Step 6: Final answer
    x = 684.27

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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.