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Finding the Fourth Proportional to 481.23, 717.92 and 464.82

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Solution

The fourth proportional to 481.23, 717.92 and 464.82 is: 693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.23 : 717.92 = 464.82 : x
  2. Step 2: Convert to fraction form
    481.23/717.92 = 464.82/x
  3. Step 3: Cross multiply
    481.23x = 717.92 × 464.82
  4. Step 4: Simplify right side
    481.23x = 333,701.25
  5. Step 5: Solve for x
    x = 333,701.25/481.23
  6. Step 6: Final answer
    x = 693.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.