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Finding the Fourth Proportional to 541.83, 813.21 and 217.42

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Solution

The fourth proportional to 541.83, 813.21 and 217.42 is: 326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.83 : 813.21 = 217.42 : x
  2. Step 2: Convert to fraction form
    541.83/813.21 = 217.42/x
  3. Step 3: Cross multiply
    541.83x = 813.21 × 217.42
  4. Step 4: Simplify right side
    541.83x = 176,808.12
  5. Step 5: Solve for x
    x = 176,808.12/541.83
  6. Step 6: Final answer
    x = 326.32

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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.