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Finding the Fourth Proportional to 849.59, 1,273.92 and 264.41

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Solution

The fourth proportional to 849.59, 1,273.92 and 264.41 is: 396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.59 : 1,273.92 = 264.41 : x
  2. Step 2: Convert to fraction form
    849.59/1,273.92 = 264.41/x
  3. Step 3: Cross multiply
    849.59x = 1,273.92 × 264.41
  4. Step 4: Simplify right side
    849.59x = 336,837.19
  5. Step 5: Solve for x
    x = 336,837.19/849.59
  6. Step 6: Final answer
    x = 396.47

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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.