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Finding the Fourth Proportional to 910.20, 1,365.33 and 293.97

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Solution

The fourth proportional to 910.20, 1,365.33 and 293.97 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.20 : 1,365.33 = 293.97 : x
  2. Step 2: Convert to fraction form
    910.20/1,365.33 = 293.97/x
  3. Step 3: Cross multiply
    910.20x = 1,365.33 × 293.97
  4. Step 4: Simplify right side
    910.20x = 401,366.06
  5. Step 5: Solve for x
    x = 401,366.06/910.20
  6. Step 6: Final answer
    x = 440.96

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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.