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Finding the Fourth Proportional to 730.69, 1,096.00 and 365.38

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Solution

The fourth proportional to 730.69, 1,096.00 and 365.38 is: 548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.69 : 1,096.00 = 365.38 : x
  2. Step 2: Convert to fraction form
    730.69/1,096.00 = 365.38/x
  3. Step 3: Cross multiply
    730.69x = 1,096.00 × 365.38
  4. Step 4: Simplify right side
    730.69x = 400,452.83
  5. Step 5: Solve for x
    x = 400,452.83/730.69
  6. Step 6: Final answer
    x = 548.05

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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.