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Finding the Fourth Proportional to 682.36, 943.54 and 542.23

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Solution

The fourth proportional to 682.36, 943.54 and 542.23 is: 749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.36 : 943.54 = 542.23 : x
  2. Step 2: Convert to fraction form
    682.36/943.54 = 542.23/x
  3. Step 3: Cross multiply
    682.36x = 943.54 × 542.23
  4. Step 4: Simplify right side
    682.36x = 511,615.69
  5. Step 5: Solve for x
    x = 511,615.69/682.36
  6. Step 6: Final answer
    x = 749.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.