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Finding the Fourth Proportional to 913.28, 1,369.65 and 264.02

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Solution

The fourth proportional to 913.28, 1,369.65 and 264.02 is: 395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.28 : 1,369.65 = 264.02 : x
  2. Step 2: Convert to fraction form
    913.28/1,369.65 = 264.02/x
  3. Step 3: Cross multiply
    913.28x = 1,369.65 × 264.02
  4. Step 4: Simplify right side
    913.28x = 361,614.99
  5. Step 5: Solve for x
    x = 361,614.99/913.28
  6. Step 6: Final answer
    x = 395.95

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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.