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Finding the Fourth Proportional to 911.27, 1,366.02 and 294.55

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Solution

The fourth proportional to 911.27, 1,366.02 and 294.55 is: 441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.27 : 1,366.02 = 294.55 : x
  2. Step 2: Convert to fraction form
    911.27/1,366.02 = 294.55/x
  3. Step 3: Cross multiply
    911.27x = 1,366.02 × 294.55
  4. Step 4: Simplify right side
    911.27x = 402,365.46
  5. Step 5: Solve for x
    x = 402,365.46/911.27
  6. Step 6: Final answer
    x = 441.55

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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.