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Finding the Fourth Proportional to 498.38, 687.57 and 323.69

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Solution

The fourth proportional to 498.38, 687.57 and 323.69 is: 446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.38 : 687.57 = 323.69 : x
  2. Step 2: Convert to fraction form
    498.38/687.57 = 323.69/x
  3. Step 3: Cross multiply
    498.38x = 687.57 × 323.69
  4. Step 4: Simplify right side
    498.38x = 222,559.53
  5. Step 5: Solve for x
    x = 222,559.53/498.38
  6. Step 6: Final answer
    x = 446.57

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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.