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Finding the Fourth Proportional to 481.48, 665.10 and 408.58

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Solution

The fourth proportional to 481.48, 665.10 and 408.58 is: 564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 665.10 = 408.58 : x
  2. Step 2: Convert to fraction form
    481.48/665.10 = 408.58/x
  3. Step 3: Cross multiply
    481.48x = 665.10 × 408.58
  4. Step 4: Simplify right side
    481.48x = 271,744.90
  5. Step 5: Solve for x
    x = 271,744.90/481.48
  6. Step 6: Final answer
    x = 564.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.