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Finding the Fourth Proportional to 497.70, 686.97 and 301.14

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Solution

The fourth proportional to 497.70, 686.97 and 301.14 is: 415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 686.97 = 301.14 : x
  2. Step 2: Convert to fraction form
    497.70/686.97 = 301.14/x
  3. Step 3: Cross multiply
    497.70x = 686.97 × 301.14
  4. Step 4: Simplify right side
    497.70x = 206,874.15
  5. Step 5: Solve for x
    x = 206,874.15/497.70
  6. Step 6: Final answer
    x = 415.66

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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.