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Finding the Fourth Proportional to 542.63, 748.77 and 309.71

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Solution

The fourth proportional to 542.63, 748.77 and 309.71 is: 427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.63 : 748.77 = 309.71 : x
  2. Step 2: Convert to fraction form
    542.63/748.77 = 309.71/x
  3. Step 3: Cross multiply
    542.63x = 748.77 × 309.71
  4. Step 4: Simplify right side
    542.63x = 231,901.56
  5. Step 5: Solve for x
    x = 231,901.56/542.63
  6. Step 6: Final answer
    x = 427.37

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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.