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Finding the Fourth Proportional to 427.22, 639.84 and 359.18

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Solution

The fourth proportional to 427.22, 639.84 and 359.18 is: 537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.22 : 639.84 = 359.18 : x
  2. Step 2: Convert to fraction form
    427.22/639.84 = 359.18/x
  3. Step 3: Cross multiply
    427.22x = 639.84 × 359.18
  4. Step 4: Simplify right side
    427.22x = 229,817.73
  5. Step 5: Solve for x
    x = 229,817.73/427.22
  6. Step 6: Final answer
    x = 537.94

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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.