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Finding the Fourth Proportional to 600.09, 900.68 and 445.65

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Solution

The fourth proportional to 600.09, 900.68 and 445.65 is: 668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.09 : 900.68 = 445.65 : x
  2. Step 2: Convert to fraction form
    600.09/900.68 = 445.65/x
  3. Step 3: Cross multiply
    600.09x = 900.68 × 445.65
  4. Step 4: Simplify right side
    600.09x = 401,385.81
  5. Step 5: Solve for x
    x = 401,385.81/600.09
  6. Step 6: Final answer
    x = 668.88

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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.