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Finding the Fourth Proportional to 493.22, 680.65 and 296.69

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Solution

The fourth proportional to 493.22, 680.65 and 296.69 is: 409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.22 : 680.65 = 296.69 : x
  2. Step 2: Convert to fraction form
    493.22/680.65 = 296.69/x
  3. Step 3: Cross multiply
    493.22x = 680.65 × 296.69
  4. Step 4: Simplify right side
    493.22x = 201,943.01
  5. Step 5: Solve for x
    x = 201,943.01/493.22
  6. Step 6: Final answer
    x = 409.44

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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.