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Finding the Fourth Proportional to 470.31, 705.47 and 226.86

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Solution

The fourth proportional to 470.31, 705.47 and 226.86 is: 340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.31 : 705.47 = 226.86 : x
  2. Step 2: Convert to fraction form
    470.31/705.47 = 226.86/x
  3. Step 3: Cross multiply
    470.31x = 705.47 × 226.86
  4. Step 4: Simplify right side
    470.31x = 160,041.79
  5. Step 5: Solve for x
    x = 160,041.79/470.31
  6. Step 6: Final answer
    x = 340.29

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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.