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Finding the Fourth Proportional to 541.91, 813.04 and 195.24

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Solution

The fourth proportional to 541.91, 813.04 and 195.24 is: 292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.91 : 813.04 = 195.24 : x
  2. Step 2: Convert to fraction form
    541.91/813.04 = 195.24/x
  3. Step 3: Cross multiply
    541.91x = 813.04 × 195.24
  4. Step 4: Simplify right side
    541.91x = 158,736.95
  5. Step 5: Solve for x
    x = 158,736.95/541.91
  6. Step 6: Final answer
    x = 292.92

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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.