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Finding the Fourth Proportional to 849.10, 1,273.29 and 272.02

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Solution

The fourth proportional to 849.10, 1,273.29 and 272.02 is: 407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.10 : 1,273.29 = 272.02 : x
  2. Step 2: Convert to fraction form
    849.10/1,273.29 = 272.02/x
  3. Step 3: Cross multiply
    849.10x = 1,273.29 × 272.02
  4. Step 4: Simplify right side
    849.10x = 346,360.35
  5. Step 5: Solve for x
    x = 346,360.35/849.10
  6. Step 6: Final answer
    x = 407.91

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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.