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Finding the Fourth Proportional to 364.41, 502.89 and 198.62

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Solution

The fourth proportional to 364.41, 502.89 and 198.62 is: 274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.41 : 502.89 = 198.62 : x
  2. Step 2: Convert to fraction form
    364.41/502.89 = 198.62/x
  3. Step 3: Cross multiply
    364.41x = 502.89 × 198.62
  4. Step 4: Simplify right side
    364.41x = 99,884.01
  5. Step 5: Solve for x
    x = 99,884.01/364.41
  6. Step 6: Final answer
    x = 274.10

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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.