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Finding the Fourth Proportional to 497.70, 686.89 and 301.21

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Solution

The fourth proportional to 497.70, 686.89 and 301.21 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 686.89 = 301.21 : x
  2. Step 2: Convert to fraction form
    497.70/686.89 = 301.21/x
  3. Step 3: Cross multiply
    497.70x = 686.89 × 301.21
  4. Step 4: Simplify right side
    497.70x = 206,895.67
  5. Step 5: Solve for x
    x = 206,895.67/497.70
  6. Step 6: Final answer
    x = 415.70

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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.