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Finding the Fourth Proportional to 481.44, 720.54 and 466.32

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Solution

The fourth proportional to 481.44, 720.54 and 466.32 is: 697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.44 : 720.54 = 466.32 : x
  2. Step 2: Convert to fraction form
    481.44/720.54 = 466.32/x
  3. Step 3: Cross multiply
    481.44x = 720.54 × 466.32
  4. Step 4: Simplify right side
    481.44x = 336,002.21
  5. Step 5: Solve for x
    x = 336,002.21/481.44
  6. Step 6: Final answer
    x = 697.91

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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.