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Finding the Fourth Proportional to 439.10, 605.04 and 298.97

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Solution

The fourth proportional to 439.10, 605.04 and 298.97 is: 411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.10 : 605.04 = 298.97 : x
  2. Step 2: Convert to fraction form
    439.10/605.04 = 298.97/x
  3. Step 3: Cross multiply
    439.10x = 605.04 × 298.97
  4. Step 4: Simplify right side
    439.10x = 180,888.81
  5. Step 5: Solve for x
    x = 180,888.81/439.10
  6. Step 6: Final answer
    x = 411.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.