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Finding the Fourth Proportional to 481.81, 720.70 and 415.84

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Solution

The fourth proportional to 481.81, 720.70 and 415.84 is: 622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.81 : 720.70 = 415.84 : x
  2. Step 2: Convert to fraction form
    481.81/720.70 = 415.84/x
  3. Step 3: Cross multiply
    481.81x = 720.70 × 415.84
  4. Step 4: Simplify right side
    481.81x = 299,695.89
  5. Step 5: Solve for x
    x = 299,695.89/481.81
  6. Step 6: Final answer
    x = 622.02

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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.