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Finding the Fourth Proportional to 470.32, 705.56 and 227

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Solution

The fourth proportional to 470.32, 705.56 and 227 is: 340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.32 : 705.56 = 227 : x
  2. Step 2: Convert to fraction form
    470.32/705.56 = 227/x
  3. Step 3: Cross multiply
    470.32x = 705.56 × 227
  4. Step 4: Simplify right side
    470.32x = 160,162.12
  5. Step 5: Solve for x
    x = 160,162.12/470.32
  6. Step 6: Final answer
    x = 340.54

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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.