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Finding the Fourth Proportional to 480.55, 720.84 and 427.09

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Solution

The fourth proportional to 480.55, 720.84 and 427.09 is: 640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.55 : 720.84 = 427.09 : x
  2. Step 2: Convert to fraction form
    480.55/720.84 = 427.09/x
  3. Step 3: Cross multiply
    480.55x = 720.84 × 427.09
  4. Step 4: Simplify right side
    480.55x = 307,863.56
  5. Step 5: Solve for x
    x = 307,863.56/480.55
  6. Step 6: Final answer
    x = 640.65

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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.