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Finding the Fourth Proportional to 313.53, 470.33 and 82.42

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Solution

The fourth proportional to 313.53, 470.33 and 82.42 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.53 : 470.33 = 82.42 : x
  2. Step 2: Convert to fraction form
    313.53/470.33 = 82.42/x
  3. Step 3: Cross multiply
    313.53x = 470.33 × 82.42
  4. Step 4: Simplify right side
    313.53x = 38,765.39
  5. Step 5: Solve for x
    x = 38,765.39/313.53
  6. Step 6: Final answer
    x = 123.64

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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.