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Finding the Fourth Proportional to 497.18, 686.14 and 298.02

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Solution

The fourth proportional to 497.18, 686.14 and 298.02 is: 411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.18 : 686.14 = 298.02 : x
  2. Step 2: Convert to fraction form
    497.18/686.14 = 298.02/x
  3. Step 3: Cross multiply
    497.18x = 686.14 × 298.02
  4. Step 4: Simplify right side
    497.18x = 204,483.44
  5. Step 5: Solve for x
    x = 204,483.44/497.18
  6. Step 6: Final answer
    x = 411.29

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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.