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Finding the Fourth Proportional to 542.11, 812.79 and 264.31

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Solution

The fourth proportional to 542.11, 812.79 and 264.31 is: 396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.11 : 812.79 = 264.31 : x
  2. Step 2: Convert to fraction form
    542.11/812.79 = 264.31/x
  3. Step 3: Cross multiply
    542.11x = 812.79 × 264.31
  4. Step 4: Simplify right side
    542.11x = 214,828.52
  5. Step 5: Solve for x
    x = 214,828.52/542.11
  6. Step 6: Final answer
    x = 396.28

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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.