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Finding the Fourth Proportional to 470.29, 705.16 and 219.85

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Solution

The fourth proportional to 470.29, 705.16 and 219.85 is: 329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.29 : 705.16 = 219.85 : x
  2. Step 2: Convert to fraction form
    470.29/705.16 = 219.85/x
  3. Step 3: Cross multiply
    470.29x = 705.16 × 219.85
  4. Step 4: Simplify right side
    470.29x = 155,029.43
  5. Step 5: Solve for x
    x = 155,029.43/470.29
  6. Step 6: Final answer
    x = 329.65

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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.