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Finding the Fourth Proportional to 497.53, 686.59 and 298.40

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Solution

The fourth proportional to 497.53, 686.59 and 298.40 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.53 : 686.59 = 298.40 : x
  2. Step 2: Convert to fraction form
    497.53/686.59 = 298.40/x
  3. Step 3: Cross multiply
    497.53x = 686.59 × 298.40
  4. Step 4: Simplify right side
    497.53x = 204,876.74
  5. Step 5: Solve for x
    x = 204,876.74/497.53
  6. Step 6: Final answer
    x = 411.79

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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.