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Finding the Fourth Proportional to 401.48, 601.61 and 298.28

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Solution

The fourth proportional to 401.48, 601.61 and 298.28 is: 446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 601.61 = 298.28 : x
  2. Step 2: Convert to fraction form
    401.48/601.61 = 298.28/x
  3. Step 3: Cross multiply
    401.48x = 601.61 × 298.28
  4. Step 4: Simplify right side
    401.48x = 179,450.48
  5. Step 5: Solve for x
    x = 179,450.48/401.48
  6. Step 6: Final answer
    x = 446.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.