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Finding the Fourth Proportional to 541.74, 812.76 and 249.33

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Solution

The fourth proportional to 541.74, 812.76 and 249.33 is: 374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.74 : 812.76 = 249.33 : x
  2. Step 2: Convert to fraction form
    541.74/812.76 = 249.33/x
  3. Step 3: Cross multiply
    541.74x = 812.76 × 249.33
  4. Step 4: Simplify right side
    541.74x = 202,640.14
  5. Step 5: Solve for x
    x = 202,640.14/541.74
  6. Step 6: Final answer
    x = 374.06

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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.