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Finding the Fourth Proportional to 911.47, 1,367.21 and 295.23

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Solution

The fourth proportional to 911.47, 1,367.21 and 295.23 is: 442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.47 : 1,367.21 = 295.23 : x
  2. Step 2: Convert to fraction form
    911.47/1,367.21 = 295.23/x
  3. Step 3: Cross multiply
    911.47x = 1,367.21 × 295.23
  4. Step 4: Simplify right side
    911.47x = 403,641.41
  5. Step 5: Solve for x
    x = 403,641.41/911.47
  6. Step 6: Final answer
    x = 442.85

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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.