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Finding the Fourth Proportional to 488.64, 674.12 and 322.80

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Solution

The fourth proportional to 488.64, 674.12 and 322.80 is: 445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 674.12 = 322.80 : x
  2. Step 2: Convert to fraction form
    488.64/674.12 = 322.80/x
  3. Step 3: Cross multiply
    488.64x = 674.12 × 322.80
  4. Step 4: Simplify right side
    488.64x = 217,605.94
  5. Step 5: Solve for x
    x = 217,605.94/488.64
  6. Step 6: Final answer
    x = 445.33

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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.