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Finding the Fourth Proportional to 911.70, 1,368.54 and 364.26

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Solution

The fourth proportional to 911.70, 1,368.54 and 364.26 is: 546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.70 : 1,368.54 = 364.26 : x
  2. Step 2: Convert to fraction form
    911.70/1,368.54 = 364.26/x
  3. Step 3: Cross multiply
    911.70x = 1,368.54 × 364.26
  4. Step 4: Simplify right side
    911.70x = 498,504.38
  5. Step 5: Solve for x
    x = 498,504.38/911.70
  6. Step 6: Final answer
    x = 546.79

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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.