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Finding the Fourth Proportional to 913.28, 1,369.76 and 328.17

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Solution

The fourth proportional to 913.28, 1,369.76 and 328.17 is: 492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.28 : 1,369.76 = 328.17 : x
  2. Step 2: Convert to fraction form
    913.28/1,369.76 = 328.17/x
  3. Step 3: Cross multiply
    913.28x = 1,369.76 × 328.17
  4. Step 4: Simplify right side
    913.28x = 449,512.50
  5. Step 5: Solve for x
    x = 449,512.50/913.28
  6. Step 6: Final answer
    x = 492.20

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Why These Related Problems?

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