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Finding the Fourth Proportional to 481.34, 663.98 and 284.82

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Solution

The fourth proportional to 481.34, 663.98 and 284.82 is: 392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.34 : 663.98 = 284.82 : x
  2. Step 2: Convert to fraction form
    481.34/663.98 = 284.82/x
  3. Step 3: Cross multiply
    481.34x = 663.98 × 284.82
  4. Step 4: Simplify right side
    481.34x = 189,114.78
  5. Step 5: Solve for x
    x = 189,114.78/481.34
  6. Step 6: Final answer
    x = 392.89

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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.