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Finding the Fourth Proportional to 470.69, 705.57 and 227.07

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Solution

The fourth proportional to 470.69, 705.57 and 227.07 is: 340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.69 : 705.57 = 227.07 : x
  2. Step 2: Convert to fraction form
    470.69/705.57 = 227.07/x
  3. Step 3: Cross multiply
    470.69x = 705.57 × 227.07
  4. Step 4: Simplify right side
    470.69x = 160,213.78
  5. Step 5: Solve for x
    x = 160,213.78/470.69
  6. Step 6: Final answer
    x = 340.38

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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.