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Finding the Fourth Proportional to 310.74, 464.94 and 270.66

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Solution

The fourth proportional to 310.74, 464.94 and 270.66 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 464.94 = 270.66 : x
  2. Step 2: Convert to fraction form
    310.74/464.94 = 270.66/x
  3. Step 3: Cross multiply
    310.74x = 464.94 × 270.66
  4. Step 4: Simplify right side
    310.74x = 125,840.66
  5. Step 5: Solve for x
    x = 125,840.66/310.74
  6. Step 6: Final answer
    x = 404.97

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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.