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Finding the Fourth Proportional to 543.74, 809.09 and 541.92

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Solution

The fourth proportional to 543.74, 809.09 and 541.92 is: 806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.74 : 809.09 = 541.92 : x
  2. Step 2: Convert to fraction form
    543.74/809.09 = 541.92/x
  3. Step 3: Cross multiply
    543.74x = 809.09 × 541.92
  4. Step 4: Simplify right side
    543.74x = 438,459.34
  5. Step 5: Solve for x
    x = 438,459.34/543.74
  6. Step 6: Final answer
    x = 806.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.