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Finding the Fourth Proportional to 334.01, 501.96 and 226.55

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Solution

The fourth proportional to 334.01, 501.96 and 226.55 is: 340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.01 : 501.96 = 226.55 : x
  2. Step 2: Convert to fraction form
    334.01/501.96 = 226.55/x
  3. Step 3: Cross multiply
    334.01x = 501.96 × 226.55
  4. Step 4: Simplify right side
    334.01x = 113,715.40
  5. Step 5: Solve for x
    x = 113,715.40/334.01
  6. Step 6: Final answer
    x = 340.46

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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.