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Finding the Fourth Proportional to 498.51, 687.39 and 408.51

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Solution

The fourth proportional to 498.51, 687.39 and 408.51 is: 563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.51 : 687.39 = 408.51 : x
  2. Step 2: Convert to fraction form
    498.51/687.39 = 408.51/x
  3. Step 3: Cross multiply
    498.51x = 687.39 × 408.51
  4. Step 4: Simplify right side
    498.51x = 280,805.69
  5. Step 5: Solve for x
    x = 280,805.69/498.51
  6. Step 6: Final answer
    x = 563.29

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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.