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Finding the Fourth Proportional to 497.24, 686.02 and 300.68

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Solution

The fourth proportional to 497.24, 686.02 and 300.68 is: 414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.24 : 686.02 = 300.68 : x
  2. Step 2: Convert to fraction form
    497.24/686.02 = 300.68/x
  3. Step 3: Cross multiply
    497.24x = 686.02 × 300.68
  4. Step 4: Simplify right side
    497.24x = 206,267.56
  5. Step 5: Solve for x
    x = 206,267.56/497.24
  6. Step 6: Final answer
    x = 414.83

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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.