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Finding the Fourth Proportional to 314.56, 470.94 and 227.32

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Solution

The fourth proportional to 314.56, 470.94 and 227.32 is: 340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.56 : 470.94 = 227.32 : x
  2. Step 2: Convert to fraction form
    314.56/470.94 = 227.32/x
  3. Step 3: Cross multiply
    314.56x = 470.94 × 227.32
  4. Step 4: Simplify right side
    314.56x = 107,054.08
  5. Step 5: Solve for x
    x = 107,054.08/314.56
  6. Step 6: Final answer
    x = 340.33

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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.