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Finding the Fourth Proportional to 470.60, 705.30 and 223.81

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Solution

The fourth proportional to 470.60, 705.30 and 223.81 is: 335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.60 : 705.30 = 223.81 : x
  2. Step 2: Convert to fraction form
    470.60/705.30 = 223.81/x
  3. Step 3: Cross multiply
    470.60x = 705.30 × 223.81
  4. Step 4: Simplify right side
    470.60x = 157,853.19
  5. Step 5: Solve for x
    x = 157,853.19/470.60
  6. Step 6: Final answer
    x = 335.43

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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.