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Finding the Fourth Proportional to 298.65, 448.20 and 296.39

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Solution

The fourth proportional to 298.65, 448.20 and 296.39 is: 444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.65 : 448.20 = 296.39 : x
  2. Step 2: Convert to fraction form
    298.65/448.20 = 296.39/x
  3. Step 3: Cross multiply
    298.65x = 448.20 × 296.39
  4. Step 4: Simplify right side
    298.65x = 132,843.12
  5. Step 5: Solve for x
    x = 132,843.12/298.65
  6. Step 6: Final answer
    x = 444.81

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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.