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Finding the Fourth Proportional to 313.53, 470.26 and 82.44

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Solution

The fourth proportional to 313.53, 470.26 and 82.44 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.53 : 470.26 = 82.44 : x
  2. Step 2: Convert to fraction form
    313.53/470.26 = 82.44/x
  3. Step 3: Cross multiply
    313.53x = 470.26 × 82.44
  4. Step 4: Simplify right side
    313.53x = 38,769.71
  5. Step 5: Solve for x
    x = 38,769.71/313.53
  6. Step 6: Final answer
    x = 123.65

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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.