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Finding the Fourth Proportional to 334.06, 500.62 and 251.74

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Solution

The fourth proportional to 334.06, 500.62 and 251.74 is: 377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.06 : 500.62 = 251.74 : x
  2. Step 2: Convert to fraction form
    334.06/500.62 = 251.74/x
  3. Step 3: Cross multiply
    334.06x = 500.62 × 251.74
  4. Step 4: Simplify right side
    334.06x = 126,024.82
  5. Step 5: Solve for x
    x = 126,024.82/334.06
  6. Step 6: Final answer
    x = 377.25

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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.