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Finding the Fourth Proportional to 600.80, 828.24 and 494.60

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Solution

The fourth proportional to 600.80, 828.24 and 494.60 is: 681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 828.24 = 494.60 : x
  2. Step 2: Convert to fraction form
    600.80/828.24 = 494.60/x
  3. Step 3: Cross multiply
    600.80x = 828.24 × 494.60
  4. Step 4: Simplify right side
    600.80x = 409,647.50
  5. Step 5: Solve for x
    x = 409,647.50/600.80
  6. Step 6: Final answer
    x = 681.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.