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Finding the Fourth Proportional to 480.44, 720.34 and 437.56

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Solution

The fourth proportional to 480.44, 720.34 and 437.56 is: 656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.44 : 720.34 = 437.56 : x
  2. Step 2: Convert to fraction form
    480.44/720.34 = 437.56/x
  3. Step 3: Cross multiply
    480.44x = 720.34 × 437.56
  4. Step 4: Simplify right side
    480.44x = 315,191.97
  5. Step 5: Solve for x
    x = 315,191.97/480.44
  6. Step 6: Final answer
    x = 656.05

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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.