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Finding the Fourth Proportional to 541.93, 813.17 and 411.89

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Solution

The fourth proportional to 541.93, 813.17 and 411.89 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.93 : 813.17 = 411.89 : x
  2. Step 2: Convert to fraction form
    541.93/813.17 = 411.89/x
  3. Step 3: Cross multiply
    541.93x = 813.17 × 411.89
  4. Step 4: Simplify right side
    541.93x = 334,936.59
  5. Step 5: Solve for x
    x = 334,936.59/541.93
  6. Step 6: Final answer
    x = 618.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.