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Finding the Fourth Proportional to 470.20, 705.59 and 226.75

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Solution

The fourth proportional to 470.20, 705.59 and 226.75 is: 340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.20 : 705.59 = 226.75 : x
  2. Step 2: Convert to fraction form
    470.20/705.59 = 226.75/x
  3. Step 3: Cross multiply
    470.20x = 705.59 × 226.75
  4. Step 4: Simplify right side
    470.20x = 159,987.87
  5. Step 5: Solve for x
    x = 159,987.87/470.20
  6. Step 6: Final answer
    x = 340.26

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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.