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Finding the Fourth Proportional to 309.25, 464.01 and 227.71

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Solution

The fourth proportional to 309.25, 464.01 and 227.71 is: 341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 464.01 = 227.71 : x
  2. Step 2: Convert to fraction form
    309.25/464.01 = 227.71/x
  3. Step 3: Cross multiply
    309.25x = 464.01 × 227.71
  4. Step 4: Simplify right side
    309.25x = 105,659.72
  5. Step 5: Solve for x
    x = 105,659.72/309.25
  6. Step 6: Final answer
    x = 341.66

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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.