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Finding the Fourth Proportional to 600.75, 899.38 and 485.42

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Solution

The fourth proportional to 600.75, 899.38 and 485.42 is: 726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 899.38 = 485.42 : x
  2. Step 2: Convert to fraction form
    600.75/899.38 = 485.42/x
  3. Step 3: Cross multiply
    600.75x = 899.38 × 485.42
  4. Step 4: Simplify right side
    600.75x = 436,575.62
  5. Step 5: Solve for x
    x = 436,575.62/600.75
  6. Step 6: Final answer
    x = 726.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.