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Finding the Fourth Proportional to 544.41, 814.79 and 446.91

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Solution

The fourth proportional to 544.41, 814.79 and 446.91 is: 668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.41 : 814.79 = 446.91 : x
  2. Step 2: Convert to fraction form
    544.41/814.79 = 446.91/x
  3. Step 3: Cross multiply
    544.41x = 814.79 × 446.91
  4. Step 4: Simplify right side
    544.41x = 364,133.72
  5. Step 5: Solve for x
    x = 364,133.72/544.41
  6. Step 6: Final answer
    x = 668.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.