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Finding the Fourth Proportional to 301.76, 448.80 and 298.56

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Solution

The fourth proportional to 301.76, 448.80 and 298.56 is: 444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.76 : 448.80 = 298.56 : x
  2. Step 2: Convert to fraction form
    301.76/448.80 = 298.56/x
  3. Step 3: Cross multiply
    301.76x = 448.80 × 298.56
  4. Step 4: Simplify right side
    301.76x = 133,993.73
  5. Step 5: Solve for x
    x = 133,993.73/301.76
  6. Step 6: Final answer
    x = 444.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.