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Finding the Fourth Proportional to 538.58, 743.19 and 299.31

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Solution

The fourth proportional to 538.58, 743.19 and 299.31 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.58 : 743.19 = 299.31 : x
  2. Step 2: Convert to fraction form
    538.58/743.19 = 299.31/x
  3. Step 3: Cross multiply
    538.58x = 743.19 × 299.31
  4. Step 4: Simplify right side
    538.58x = 222,444.20
  5. Step 5: Solve for x
    x = 222,444.20/538.58
  6. Step 6: Final answer
    x = 413.02

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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.