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Finding the Fourth Proportional to 600.80, 829.04 and 379.92

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Solution

The fourth proportional to 600.80, 829.04 and 379.92 is: 524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 829.04 = 379.92 : x
  2. Step 2: Convert to fraction form
    600.80/829.04 = 379.92/x
  3. Step 3: Cross multiply
    600.80x = 829.04 × 379.92
  4. Step 4: Simplify right side
    600.80x = 314,968.88
  5. Step 5: Solve for x
    x = 314,968.88/600.80
  6. Step 6: Final answer
    x = 524.25

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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.