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Finding the Fourth Proportional to 337.44, 464.88 and 311.04

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Solution

The fourth proportional to 337.44, 464.88 and 311.04 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.44 : 464.88 = 311.04 : x
  2. Step 2: Convert to fraction form
    337.44/464.88 = 311.04/x
  3. Step 3: Cross multiply
    337.44x = 464.88 × 311.04
  4. Step 4: Simplify right side
    337.44x = 144,596.28
  5. Step 5: Solve for x
    x = 144,596.28/337.44
  6. Step 6: Final answer
    x = 428.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.