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Finding the Fourth Proportional to 913.48, 1,369.62 and 365.80

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Solution

The fourth proportional to 913.48, 1,369.62 and 365.80 is: 548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.48 : 1,369.62 = 365.80 : x
  2. Step 2: Convert to fraction form
    913.48/1,369.62 = 365.80/x
  3. Step 3: Cross multiply
    913.48x = 1,369.62 × 365.80
  4. Step 4: Simplify right side
    913.48x = 501,007.00
  5. Step 5: Solve for x
    x = 501,007.00/913.48
  6. Step 6: Final answer
    x = 548.46

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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.