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Finding the Fourth Proportional to 481.15, 720.86 and 412.00

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Solution

The fourth proportional to 481.15, 720.86 and 412.00 is: 617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.15 : 720.86 = 412.00 : x
  2. Step 2: Convert to fraction form
    481.15/720.86 = 412.00/x
  3. Step 3: Cross multiply
    481.15x = 720.86 × 412.00
  4. Step 4: Simplify right side
    481.15x = 296,991.75
  5. Step 5: Solve for x
    x = 296,991.75/481.15
  6. Step 6: Final answer
    x = 617.26

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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.