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Finding the Fourth Proportional to 546.35, 817.29 and 443.88

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Solution

The fourth proportional to 546.35, 817.29 and 443.88 is: 664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.35 : 817.29 = 443.88 : x
  2. Step 2: Convert to fraction form
    546.35/817.29 = 443.88/x
  3. Step 3: Cross multiply
    546.35x = 817.29 × 443.88
  4. Step 4: Simplify right side
    546.35x = 362,778.69
  5. Step 5: Solve for x
    x = 362,778.69/546.35
  6. Step 6: Final answer
    x = 664.01

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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.