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Finding the Fourth Proportional to 541.82, 812.12 and 216.80

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Solution

The fourth proportional to 541.82, 812.12 and 216.80 is: 324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.82 : 812.12 = 216.80 : x
  2. Step 2: Convert to fraction form
    541.82/812.12 = 216.80/x
  3. Step 3: Cross multiply
    541.82x = 812.12 × 216.80
  4. Step 4: Simplify right side
    541.82x = 176,068.56
  5. Step 5: Solve for x
    x = 176,068.56/541.82
  6. Step 6: Final answer
    x = 324.96

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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.