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Finding the Fourth Proportional to 498.49, 687.92 and 299.25

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Solution

The fourth proportional to 498.49, 687.92 and 299.25 is: 412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.49 : 687.92 = 299.25 : x
  2. Step 2: Convert to fraction form
    498.49/687.92 = 299.25/x
  3. Step 3: Cross multiply
    498.49x = 687.92 × 299.25
  4. Step 4: Simplify right side
    498.49x = 205,860.81
  5. Step 5: Solve for x
    x = 205,860.81/498.49
  6. Step 6: Final answer
    x = 412.97

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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.