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Finding the Fourth Proportional to 911.22, 1,366.92 and 294.77

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Solution

The fourth proportional to 911.22, 1,366.92 and 294.77 is: 442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.22 : 1,366.92 = 294.77 : x
  2. Step 2: Convert to fraction form
    911.22/1,366.92 = 294.77/x
  3. Step 3: Cross multiply
    911.22x = 1,366.92 × 294.77
  4. Step 4: Simplify right side
    911.22x = 402,927.01
  5. Step 5: Solve for x
    x = 402,927.01/911.22
  6. Step 6: Final answer
    x = 442.18

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