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Finding the Fourth Proportional to 493.08, 680.52 and 296.70

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Solution

The fourth proportional to 493.08, 680.52 and 296.70 is: 409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.08 : 680.52 = 296.70 : x
  2. Step 2: Convert to fraction form
    493.08/680.52 = 296.70/x
  3. Step 3: Cross multiply
    493.08x = 680.52 × 296.70
  4. Step 4: Simplify right side
    493.08x = 201,910.28
  5. Step 5: Solve for x
    x = 201,910.28/493.08
  6. Step 6: Final answer
    x = 409.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.