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Finding the Fourth Proportional to 496.96, 686.04 and 297.86

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Solution

The fourth proportional to 496.96, 686.04 and 297.86 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.96 : 686.04 = 297.86 : x
  2. Step 2: Convert to fraction form
    496.96/686.04 = 297.86/x
  3. Step 3: Cross multiply
    496.96x = 686.04 × 297.86
  4. Step 4: Simplify right side
    496.96x = 204,343.87
  5. Step 5: Solve for x
    x = 204,343.87/496.96
  6. Step 6: Final answer
    x = 411.19

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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.