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Finding the Fourth Proportional to 488.86, 674.91 and 323.56

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Solution

The fourth proportional to 488.86, 674.91 and 323.56 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.86 : 674.91 = 323.56 : x
  2. Step 2: Convert to fraction form
    488.86/674.91 = 323.56/x
  3. Step 3: Cross multiply
    488.86x = 674.91 × 323.56
  4. Step 4: Simplify right side
    488.86x = 218,373.88
  5. Step 5: Solve for x
    x = 218,373.88/488.86
  6. Step 6: Final answer
    x = 446.70

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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.