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Finding the Fourth Proportional to 816.73, 1,225.03 and 239.53

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Solution

The fourth proportional to 816.73, 1,225.03 and 239.53 is: 359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.73 : 1,225.03 = 239.53 : x
  2. Step 2: Convert to fraction form
    816.73/1,225.03 = 239.53/x
  3. Step 3: Cross multiply
    816.73x = 1,225.03 × 239.53
  4. Step 4: Simplify right side
    816.73x = 293,431.44
  5. Step 5: Solve for x
    x = 293,431.44/816.73
  6. Step 6: Final answer
    x = 359.28

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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.