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Finding the Fourth Proportional to 493.39, 739.37 and 362.36

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Solution

The fourth proportional to 493.39, 739.37 and 362.36 is: 543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.39 : 739.37 = 362.36 : x
  2. Step 2: Convert to fraction form
    493.39/739.37 = 362.36/x
  3. Step 3: Cross multiply
    493.39x = 739.37 × 362.36
  4. Step 4: Simplify right side
    493.39x = 267,918.77
  5. Step 5: Solve for x
    x = 267,918.77/493.39
  6. Step 6: Final answer
    x = 543.02

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