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Finding the Fourth Proportional to 911.71, 1,367.59 and 364.15

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Solution

The fourth proportional to 911.71, 1,367.59 and 364.15 is: 546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.71 : 1,367.59 = 364.15 : x
  2. Step 2: Convert to fraction form
    911.71/1,367.59 = 364.15/x
  3. Step 3: Cross multiply
    911.71x = 1,367.59 × 364.15
  4. Step 4: Simplify right side
    911.71x = 498,007.90
  5. Step 5: Solve for x
    x = 498,007.90/911.71
  6. Step 6: Final answer
    x = 546.23

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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.