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Finding the Fourth Proportional to 538.53, 743.39 and 398.58

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Solution

The fourth proportional to 538.53, 743.39 and 398.58 is: 550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.53 : 743.39 = 398.58 : x
  2. Step 2: Convert to fraction form
    538.53/743.39 = 398.58/x
  3. Step 3: Cross multiply
    538.53x = 743.39 × 398.58
  4. Step 4: Simplify right side
    538.53x = 296,298.39
  5. Step 5: Solve for x
    x = 296,298.39/538.53
  6. Step 6: Final answer
    x = 550.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.