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Finding the Fourth Proportional to 538.67, 806.79 and 249.50

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Solution

The fourth proportional to 538.67, 806.79 and 249.50 is: 373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 806.79 = 249.50 : x
  2. Step 2: Convert to fraction form
    538.67/806.79 = 249.50/x
  3. Step 3: Cross multiply
    538.67x = 806.79 × 249.50
  4. Step 4: Simplify right side
    538.67x = 201,294.11
  5. Step 5: Solve for x
    x = 201,294.11/538.67
  6. Step 6: Final answer
    x = 373.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.