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Finding the Fourth Proportional to 488.49, 674.24 and 322.98

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Solution

The fourth proportional to 488.49, 674.24 and 322.98 is: 445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.49 : 674.24 = 322.98 : x
  2. Step 2: Convert to fraction form
    488.49/674.24 = 322.98/x
  3. Step 3: Cross multiply
    488.49x = 674.24 × 322.98
  4. Step 4: Simplify right side
    488.49x = 217,764.42
  5. Step 5: Solve for x
    x = 217,764.42/488.49
  6. Step 6: Final answer
    x = 445.79

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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.