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Finding the Fourth Proportional to 497.28, 686.41 and 298.26

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Solution

The fourth proportional to 497.28, 686.41 and 298.26 is: 411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 686.41 = 298.26 : x
  2. Step 2: Convert to fraction form
    497.28/686.41 = 298.26/x
  3. Step 3: Cross multiply
    497.28x = 686.41 × 298.26
  4. Step 4: Simplify right side
    497.28x = 204,727.90
  5. Step 5: Solve for x
    x = 204,727.90/497.28
  6. Step 6: Final answer
    x = 411.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.