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Finding the Fourth Proportional to 497.29, 686.33 and 300.92

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Solution

The fourth proportional to 497.29, 686.33 and 300.92 is: 415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.29 : 686.33 = 300.92 : x
  2. Step 2: Convert to fraction form
    497.29/686.33 = 300.92/x
  3. Step 3: Cross multiply
    497.29x = 686.33 × 300.92
  4. Step 4: Simplify right side
    497.29x = 206,527.46
  5. Step 5: Solve for x
    x = 206,527.46/497.29
  6. Step 6: Final answer
    x = 415.31

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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.