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Finding the Fourth Proportional to 544.16, 810.17 and 541.41

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Solution

The fourth proportional to 544.16, 810.17 and 541.41 is: 806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 810.17 = 541.41 : x
  2. Step 2: Convert to fraction form
    544.16/810.17 = 541.41/x
  3. Step 3: Cross multiply
    544.16x = 810.17 × 541.41
  4. Step 4: Simplify right side
    544.16x = 438,631.43
  5. Step 5: Solve for x
    x = 438,631.43/544.16
  6. Step 6: Final answer
    x = 806.08

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Why These Related Problems?

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