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Finding the Fourth Proportional to 427.25, 640.65 and 207.80

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Solution

The fourth proportional to 427.25, 640.65 and 207.80 is: 311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.25 : 640.65 = 207.80 : x
  2. Step 2: Convert to fraction form
    427.25/640.65 = 207.80/x
  3. Step 3: Cross multiply
    427.25x = 640.65 × 207.80
  4. Step 4: Simplify right side
    427.25x = 133,127.07
  5. Step 5: Solve for x
    x = 133,127.07/427.25
  6. Step 6: Final answer
    x = 311.59

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