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Finding the Fourth Proportional to 313.76, 470.81 and 223.04

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Solution

The fourth proportional to 313.76, 470.81 and 223.04 is: 334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 470.81 = 223.04 : x
  2. Step 2: Convert to fraction form
    313.76/470.81 = 223.04/x
  3. Step 3: Cross multiply
    313.76x = 470.81 × 223.04
  4. Step 4: Simplify right side
    313.76x = 105,005.99
  5. Step 5: Solve for x
    x = 105,005.99/313.76
  6. Step 6: Final answer
    x = 334.68

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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.