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Finding the Fourth Proportional to 538.18, 807.14 and 249.54

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Solution

The fourth proportional to 538.18, 807.14 and 249.54 is: 374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.18 : 807.14 = 249.54 : x
  2. Step 2: Convert to fraction form
    538.18/807.14 = 249.54/x
  3. Step 3: Cross multiply
    538.18x = 807.14 × 249.54
  4. Step 4: Simplify right side
    538.18x = 201,413.72
  5. Step 5: Solve for x
    x = 201,413.72/538.18
  6. Step 6: Final answer
    x = 374.25

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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.