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Finding the Fourth Proportional to 497.29, 686.36 and 298.14

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Solution

The fourth proportional to 497.29, 686.36 and 298.14 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.29 : 686.36 = 298.14 : x
  2. Step 2: Convert to fraction form
    497.29/686.36 = 298.14/x
  3. Step 3: Cross multiply
    497.29x = 686.36 × 298.14
  4. Step 4: Simplify right side
    497.29x = 204,631.37
  5. Step 5: Solve for x
    x = 204,631.37/497.29
  6. Step 6: Final answer
    x = 411.49

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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.