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Finding the Fourth Proportional to 313.36, 469.31 and 226.32

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Solution

The fourth proportional to 313.36, 469.31 and 226.32 is: 338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.36 : 469.31 = 226.32 : x
  2. Step 2: Convert to fraction form
    313.36/469.31 = 226.32/x
  3. Step 3: Cross multiply
    313.36x = 469.31 × 226.32
  4. Step 4: Simplify right side
    313.36x = 106,214.24
  5. Step 5: Solve for x
    x = 106,214.24/313.36
  6. Step 6: Final answer
    x = 338.95

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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.