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Finding the Fourth Proportional to 498.72, 687.96 and 351.48

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Solution

The fourth proportional to 498.72, 687.96 and 351.48 is: 484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 687.96 = 351.48 : x
  2. Step 2: Convert to fraction form
    498.72/687.96 = 351.48/x
  3. Step 3: Cross multiply
    498.72x = 687.96 × 351.48
  4. Step 4: Simplify right side
    498.72x = 241,804.18
  5. Step 5: Solve for x
    x = 241,804.18/498.72
  6. Step 6: Final answer
    x = 484.85

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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.