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Finding the Fourth Proportional to 313.92, 470.88 and 82.81

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Solution

The fourth proportional to 313.92, 470.88 and 82.81 is: 124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.92 : 470.88 = 82.81 : x
  2. Step 2: Convert to fraction form
    313.92/470.88 = 82.81/x
  3. Step 3: Cross multiply
    313.92x = 470.88 × 82.81
  4. Step 4: Simplify right side
    313.92x = 38,991.51
  5. Step 5: Solve for x
    x = 38,991.51/313.92
  6. Step 6: Final answer
    x = 124.21

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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.