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Finding the Fourth Proportional to 349.83, 482.74 and 202.49

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Solution

The fourth proportional to 349.83, 482.74 and 202.49 is: 279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.83 : 482.74 = 202.49 : x
  2. Step 2: Convert to fraction form
    349.83/482.74 = 202.49/x
  3. Step 3: Cross multiply
    349.83x = 482.74 × 202.49
  4. Step 4: Simplify right side
    349.83x = 97,747.48
  5. Step 5: Solve for x
    x = 97,747.48/349.83
  6. Step 6: Final answer
    x = 279.41

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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.