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Finding the Fourth Proportional to 497.56, 686.66 and 287.74

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Solution

The fourth proportional to 497.56, 686.66 and 287.74 is: 397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.56 : 686.66 = 287.74 : x
  2. Step 2: Convert to fraction form
    497.56/686.66 = 287.74/x
  3. Step 3: Cross multiply
    497.56x = 686.66 × 287.74
  4. Step 4: Simplify right side
    497.56x = 197,576.39
  5. Step 5: Solve for x
    x = 197,576.39/497.56
  6. Step 6: Final answer
    x = 397.09

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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.