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Finding the Fourth Proportional to 349.28, 481.52 and 264.05

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Solution

The fourth proportional to 349.28, 481.52 and 264.05 is: 364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.28 : 481.52 = 264.05 : x
  2. Step 2: Convert to fraction form
    349.28/481.52 = 264.05/x
  3. Step 3: Cross multiply
    349.28x = 481.52 × 264.05
  4. Step 4: Simplify right side
    349.28x = 127,141.63
  5. Step 5: Solve for x
    x = 127,141.63/349.28
  6. Step 6: Final answer
    x = 364.02

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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.