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Finding the Fourth Proportional to 349.83, 482.70 and 202.47

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Solution

The fourth proportional to 349.83, 482.70 and 202.47 is: 279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.83 : 482.70 = 202.47 : x
  2. Step 2: Convert to fraction form
    349.83/482.70 = 202.47/x
  3. Step 3: Cross multiply
    349.83x = 482.70 × 202.47
  4. Step 4: Simplify right side
    349.83x = 97,732.27
  5. Step 5: Solve for x
    x = 97,732.27/349.83
  6. Step 6: Final answer
    x = 279.37

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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.