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Finding the Fourth Proportional to 913.26, 1,369.74 and 328.14

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Solution

The fourth proportional to 913.26, 1,369.74 and 328.14 is: 492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.26 : 1,369.74 = 328.14 : x
  2. Step 2: Convert to fraction form
    913.26/1,369.74 = 328.14/x
  3. Step 3: Cross multiply
    913.26x = 1,369.74 × 328.14
  4. Step 4: Simplify right side
    913.26x = 449,466.48
  5. Step 5: Solve for x
    x = 449,466.48/913.26
  6. Step 6: Final answer
    x = 492.16

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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.