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Finding the Fourth Proportional to 334.62, 504.81 and 298.98

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Solution

The fourth proportional to 334.62, 504.81 and 298.98 is: 451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.62 : 504.81 = 298.98 : x
  2. Step 2: Convert to fraction form
    334.62/504.81 = 298.98/x
  3. Step 3: Cross multiply
    334.62x = 504.81 × 298.98
  4. Step 4: Simplify right side
    334.62x = 150,928.09
  5. Step 5: Solve for x
    x = 150,928.09/334.62
  6. Step 6: Final answer
    x = 451.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.