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Finding the Fourth Proportional to 493.47, 680.99 and 296.99

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Solution

The fourth proportional to 493.47, 680.99 and 296.99 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.47 : 680.99 = 296.99 : x
  2. Step 2: Convert to fraction form
    493.47/680.99 = 296.99/x
  3. Step 3: Cross multiply
    493.47x = 680.99 × 296.99
  4. Step 4: Simplify right side
    493.47x = 202,247.22
  5. Step 5: Solve for x
    x = 202,247.22/493.47
  6. Step 6: Final answer
    x = 409.85

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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.