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Finding the Fourth Proportional to 349.82, 482.78 and 202.44

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Solution

The fourth proportional to 349.82, 482.78 and 202.44 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.82 : 482.78 = 202.44 : x
  2. Step 2: Convert to fraction form
    349.82/482.78 = 202.44/x
  3. Step 3: Cross multiply
    349.82x = 482.78 × 202.44
  4. Step 4: Simplify right side
    349.82x = 97,733.98
  5. Step 5: Solve for x
    x = 97,733.98/349.82
  6. Step 6: Final answer
    x = 279.38

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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.