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Finding the Fourth Proportional to 884.53, 1,326.99 and 268.22

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Solution

The fourth proportional to 884.53, 1,326.99 and 268.22 is: 402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.53 : 1,326.99 = 268.22 : x
  2. Step 2: Convert to fraction form
    884.53/1,326.99 = 268.22/x
  3. Step 3: Cross multiply
    884.53x = 1,326.99 × 268.22
  4. Step 4: Simplify right side
    884.53x = 355,925.26
  5. Step 5: Solve for x
    x = 355,925.26/884.53
  6. Step 6: Final answer
    x = 402.39

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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.