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Finding the Fourth Proportional to 917.67, 1,376.49 and 224.33

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Solution

The fourth proportional to 917.67, 1,376.49 and 224.33 is: 336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.67 : 1,376.49 = 224.33 : x
  2. Step 2: Convert to fraction form
    917.67/1,376.49 = 224.33/x
  3. Step 3: Cross multiply
    917.67x = 1,376.49 × 224.33
  4. Step 4: Simplify right side
    917.67x = 308,781.12
  5. Step 5: Solve for x
    x = 308,781.12/917.67
  6. Step 6: Final answer
    x = 336.48

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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.