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Finding the Fourth Proportional to 399.45, 599.46 and 296.43

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Solution

The fourth proportional to 399.45, 599.46 and 296.43 is: 444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.45 : 599.46 = 296.43 : x
  2. Step 2: Convert to fraction form
    399.45/599.46 = 296.43/x
  3. Step 3: Cross multiply
    399.45x = 599.46 × 296.43
  4. Step 4: Simplify right side
    399.45x = 177,697.93
  5. Step 5: Solve for x
    x = 177,697.93/399.45
  6. Step 6: Final answer
    x = 444.86

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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.