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Finding the Fourth Proportional to 470.60, 705.90 and 227.29

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Solution

The fourth proportional to 470.60, 705.90 and 227.29 is: 340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.60 : 705.90 = 227.29 : x
  2. Step 2: Convert to fraction form
    470.60/705.90 = 227.29/x
  3. Step 3: Cross multiply
    470.60x = 705.90 × 227.29
  4. Step 4: Simplify right side
    470.60x = 160,444.01
  5. Step 5: Solve for x
    x = 160,444.01/470.60
  6. Step 6: Final answer
    x = 340.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.