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Finding the Fourth Proportional to 337.36, 464.24 and 254.32

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Solution

The fourth proportional to 337.36, 464.24 and 254.32 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.36 : 464.24 = 254.32 : x
  2. Step 2: Convert to fraction form
    337.36/464.24 = 254.32/x
  3. Step 3: Cross multiply
    337.36x = 464.24 × 254.32
  4. Step 4: Simplify right side
    337.36x = 118,065.52
  5. Step 5: Solve for x
    x = 118,065.52/337.36
  6. Step 6: Final answer
    x = 349.97

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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.