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Finding the Fourth Proportional to 542.09, 812.23 and 349.31

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Solution

The fourth proportional to 542.09, 812.23 and 349.31 is: 523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 812.23 = 349.31 : x
  2. Step 2: Convert to fraction form
    542.09/812.23 = 349.31/x
  3. Step 3: Cross multiply
    542.09x = 812.23 × 349.31
  4. Step 4: Simplify right side
    542.09x = 283,721.22
  5. Step 5: Solve for x
    x = 283,721.22/542.09
  6. Step 6: Final answer
    x = 523.38

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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.