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Finding the Fourth Proportional to 541.23, 812.08 and 216.51

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Solution

The fourth proportional to 541.23, 812.08 and 216.51 is: 324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.23 : 812.08 = 216.51 : x
  2. Step 2: Convert to fraction form
    541.23/812.08 = 216.51/x
  3. Step 3: Cross multiply
    541.23x = 812.08 × 216.51
  4. Step 4: Simplify right side
    541.23x = 175,822.90
  5. Step 5: Solve for x
    x = 175,822.90/541.23
  6. Step 6: Final answer
    x = 324.86

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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.