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Finding the Fourth Proportional to 497.37, 686.35 and 273.31

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Solution

The fourth proportional to 497.37, 686.35 and 273.31 is: 377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.37 : 686.35 = 273.31 : x
  2. Step 2: Convert to fraction form
    497.37/686.35 = 273.31/x
  3. Step 3: Cross multiply
    497.37x = 686.35 × 273.31
  4. Step 4: Simplify right side
    497.37x = 187,584.46
  5. Step 5: Solve for x
    x = 187,584.46/497.37
  6. Step 6: Final answer
    x = 377.16

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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.