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Finding the Fourth Proportional to 470.73, 705.49 and 223.93

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Solution

The fourth proportional to 470.73, 705.49 and 223.93 is: 335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 705.49 = 223.93 : x
  2. Step 2: Convert to fraction form
    470.73/705.49 = 223.93/x
  3. Step 3: Cross multiply
    470.73x = 705.49 × 223.93
  4. Step 4: Simplify right side
    470.73x = 157,981.96
  5. Step 5: Solve for x
    x = 157,981.96/470.73
  6. Step 6: Final answer
    x = 335.61

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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.