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Finding the Fourth Proportional to 498.24, 687.74 and 351.30

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Solution

The fourth proportional to 498.24, 687.74 and 351.30 is: 484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 687.74 = 351.30 : x
  2. Step 2: Convert to fraction form
    498.24/687.74 = 351.30/x
  3. Step 3: Cross multiply
    498.24x = 687.74 × 351.30
  4. Step 4: Simplify right side
    498.24x = 241,601.31
  5. Step 5: Solve for x
    x = 241,601.31/498.24
  6. Step 6: Final answer
    x = 484.91

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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.