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Finding the Fourth Proportional to 733.30, 1,100.19 and 322.22

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Solution

The fourth proportional to 733.30, 1,100.19 and 322.22 is: 483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.30 : 1,100.19 = 322.22 : x
  2. Step 2: Convert to fraction form
    733.30/1,100.19 = 322.22/x
  3. Step 3: Cross multiply
    733.30x = 1,100.19 × 322.22
  4. Step 4: Simplify right side
    733.30x = 354,503.22
  5. Step 5: Solve for x
    x = 354,503.22/733.30
  6. Step 6: Final answer
    x = 483.44

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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.