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Finding the Fourth Proportional to 497.73, 686.69 and 298.58

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Solution

The fourth proportional to 497.73, 686.69 and 298.58 is: 411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.73 : 686.69 = 298.58 : x
  2. Step 2: Convert to fraction form
    497.73/686.69 = 298.58/x
  3. Step 3: Cross multiply
    497.73x = 686.69 × 298.58
  4. Step 4: Simplify right side
    497.73x = 205,029.77
  5. Step 5: Solve for x
    x = 205,029.77/497.73
  6. Step 6: Final answer
    x = 411.93

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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.