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Finding the Fourth Proportional to 481.50, 664.16 and 284.87

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Solution

The fourth proportional to 481.50, 664.16 and 284.87 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.50 : 664.16 = 284.87 : x
  2. Step 2: Convert to fraction form
    481.50/664.16 = 284.87/x
  3. Step 3: Cross multiply
    481.50x = 664.16 × 284.87
  4. Step 4: Simplify right side
    481.50x = 189,199.26
  5. Step 5: Solve for x
    x = 189,199.26/481.50
  6. Step 6: Final answer
    x = 392.94

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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.