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Finding the Fourth Proportional to 733.31, 1,100.16 and 300.77

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Solution

The fourth proportional to 733.31, 1,100.16 and 300.77 is: 451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.31 : 1,100.16 = 300.77 : x
  2. Step 2: Convert to fraction form
    733.31/1,100.16 = 300.77/x
  3. Step 3: Cross multiply
    733.31x = 1,100.16 × 300.77
  4. Step 4: Simplify right side
    733.31x = 330,895.12
  5. Step 5: Solve for x
    x = 330,895.12/733.31
  6. Step 6: Final answer
    x = 451.23

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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.