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Finding the Fourth Proportional to 733.64, 1,100.44 and 368.22

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Solution

The fourth proportional to 733.64, 1,100.44 and 368.22 is: 552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.64 : 1,100.44 = 368.22 : x
  2. Step 2: Convert to fraction form
    733.64/1,100.44 = 368.22/x
  3. Step 3: Cross multiply
    733.64x = 1,100.44 × 368.22
  4. Step 4: Simplify right side
    733.64x = 405,204.02
  5. Step 5: Solve for x
    x = 405,204.02/733.64
  6. Step 6: Final answer
    x = 552.32

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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.