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Finding the Fourth Proportional to 493.14, 680.34 and 296.67

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Solution

The fourth proportional to 493.14, 680.34 and 296.67 is: 409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.14 : 680.34 = 296.67 : x
  2. Step 2: Convert to fraction form
    493.14/680.34 = 296.67/x
  3. Step 3: Cross multiply
    493.14x = 680.34 × 296.67
  4. Step 4: Simplify right side
    493.14x = 201,836.47
  5. Step 5: Solve for x
    x = 201,836.47/493.14
  6. Step 6: Final answer
    x = 409.29

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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.