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Finding the Fourth Proportional to 498.25, 687.11 and 299.05

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Solution

The fourth proportional to 498.25, 687.11 and 299.05 is: 412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.25 : 687.11 = 299.05 : x
  2. Step 2: Convert to fraction form
    498.25/687.11 = 299.05/x
  3. Step 3: Cross multiply
    498.25x = 687.11 × 299.05
  4. Step 4: Simplify right side
    498.25x = 205,480.99
  5. Step 5: Solve for x
    x = 205,480.99/498.25
  6. Step 6: Final answer
    x = 412.41

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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.