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Finding the Fourth Proportional to 497.72, 686.86 and 301.34

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Solution

The fourth proportional to 497.72, 686.86 and 301.34 is: 415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.72 : 686.86 = 301.34 : x
  2. Step 2: Convert to fraction form
    497.72/686.86 = 301.34/x
  3. Step 3: Cross multiply
    497.72x = 686.86 × 301.34
  4. Step 4: Simplify right side
    497.72x = 206,978.39
  5. Step 5: Solve for x
    x = 206,978.39/497.72
  6. Step 6: Final answer
    x = 415.85

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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.