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Finding the Fourth Proportional to 313.45, 469.05 and 226.88

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Solution

The fourth proportional to 313.45, 469.05 and 226.88 is: 339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 469.05 = 226.88 : x
  2. Step 2: Convert to fraction form
    313.45/469.05 = 226.88/x
  3. Step 3: Cross multiply
    313.45x = 469.05 × 226.88
  4. Step 4: Simplify right side
    313.45x = 106,418.06
  5. Step 5: Solve for x
    x = 106,418.06/313.45
  6. Step 6: Final answer
    x = 339.51

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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.