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Finding the Fourth Proportional to 536.14, 739.62 and 349.80

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Solution

The fourth proportional to 536.14, 739.62 and 349.80 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 739.62 = 349.80 : x
  2. Step 2: Convert to fraction form
    536.14/739.62 = 349.80/x
  3. Step 3: Cross multiply
    536.14x = 739.62 × 349.80
  4. Step 4: Simplify right side
    536.14x = 258,719.08
  5. Step 5: Solve for x
    x = 258,719.08/536.14
  6. Step 6: Final answer
    x = 482.56

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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.