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Finding the Fourth Proportional to 334.98, 502.74 and 300.96

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Solution

The fourth proportional to 334.98, 502.74 and 300.96 is: 451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.98 : 502.74 = 300.96 : x
  2. Step 2: Convert to fraction form
    334.98/502.74 = 300.96/x
  3. Step 3: Cross multiply
    334.98x = 502.74 × 300.96
  4. Step 4: Simplify right side
    334.98x = 151,304.63
  5. Step 5: Solve for x
    x = 151,304.63/334.98
  6. Step 6: Final answer
    x = 451.68

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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.