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Finding the Fourth Proportional to 337, 464.52 and 263.20

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Solution

The fourth proportional to 337, 464.52 and 263.20 is: 362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337 : 464.52 = 263.20 : x
  2. Step 2: Convert to fraction form
    337/464.52 = 263.20/x
  3. Step 3: Cross multiply
    337x = 464.52 × 263.20
  4. Step 4: Simplify right side
    337x = 122,261.66
  5. Step 5: Solve for x
    x = 122,261.66/337
  6. Step 6: Final answer
    x = 362.79

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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.