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Finding the Fourth Proportional to 298.05, 444.86 and 290.76

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Solution

The fourth proportional to 298.05, 444.86 and 290.76 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.05 : 444.86 = 290.76 : x
  2. Step 2: Convert to fraction form
    298.05/444.86 = 290.76/x
  3. Step 3: Cross multiply
    298.05x = 444.86 × 290.76
  4. Step 4: Simplify right side
    298.05x = 129,346.04
  5. Step 5: Solve for x
    x = 129,346.04/298.05
  6. Step 6: Final answer
    x = 433.97

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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.