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Finding the Fourth Proportional to 313.49, 470.24 and 82.37

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Solution

The fourth proportional to 313.49, 470.24 and 82.37 is: 123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 470.24 = 82.37 : x
  2. Step 2: Convert to fraction form
    313.49/470.24 = 82.37/x
  3. Step 3: Cross multiply
    313.49x = 470.24 × 82.37
  4. Step 4: Simplify right side
    313.49x = 38,734.74
  5. Step 5: Solve for x
    x = 38,734.74/313.49
  6. Step 6: Final answer
    x = 123.56

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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.