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Finding the Fourth Proportional to 486.81, 733.46 and 425.66

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Solution

The fourth proportional to 486.81, 733.46 and 425.66 is: 641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.81 : 733.46 = 425.66 : x
  2. Step 2: Convert to fraction form
    486.81/733.46 = 425.66/x
  3. Step 3: Cross multiply
    486.81x = 733.46 × 425.66
  4. Step 4: Simplify right side
    486.81x = 312,198.79
  5. Step 5: Solve for x
    x = 312,198.79/486.81
  6. Step 6: Final answer
    x = 641.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.