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Finding the Fourth Proportional to 470.36, 705.32 and 226.96

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Solution

The fourth proportional to 470.36, 705.32 and 226.96 is: 340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 705.32 = 226.96 : x
  2. Step 2: Convert to fraction form
    470.36/705.32 = 226.96/x
  3. Step 3: Cross multiply
    470.36x = 705.32 × 226.96
  4. Step 4: Simplify right side
    470.36x = 160,079.43
  5. Step 5: Solve for x
    x = 160,079.43/470.36
  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.