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Finding the Fourth Proportional to 497.14, 686.29 and 298.07

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Solution

The fourth proportional to 497.14, 686.29 and 298.07 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.14 : 686.29 = 298.07 : x
  2. Step 2: Convert to fraction form
    497.14/686.29 = 298.07/x
  3. Step 3: Cross multiply
    497.14x = 686.29 × 298.07
  4. Step 4: Simplify right side
    497.14x = 204,562.46
  5. Step 5: Solve for x
    x = 204,562.46/497.14
  6. Step 6: Final answer
    x = 411.48

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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.