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Finding the Fourth Proportional to 349.44, 482.54 and 262.56

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Solution

The fourth proportional to 349.44, 482.54 and 262.56 is: 362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.44 : 482.54 = 262.56 : x
  2. Step 2: Convert to fraction form
    349.44/482.54 = 262.56/x
  3. Step 3: Cross multiply
    349.44x = 482.54 × 262.56
  4. Step 4: Simplify right side
    349.44x = 126,695.70
  5. Step 5: Solve for x
    x = 126,695.70/349.44
  6. Step 6: Final answer
    x = 362.57

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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.