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Finding the Fourth Proportional to 493.17, 680.57 and 269.10

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Solution

The fourth proportional to 493.17, 680.57 and 269.10 is: 371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.17 : 680.57 = 269.10 : x
  2. Step 2: Convert to fraction form
    493.17/680.57 = 269.10/x
  3. Step 3: Cross multiply
    493.17x = 680.57 × 269.10
  4. Step 4: Simplify right side
    493.17x = 183,141.39
  5. Step 5: Solve for x
    x = 183,141.39/493.17
  6. Step 6: Final answer
    x = 371.36

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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.