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Finding the Fourth Proportional to 481.61, 663.91 and 347.06

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Solution

The fourth proportional to 481.61, 663.91 and 347.06 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.61 : 663.91 = 347.06 : x
  2. Step 2: Convert to fraction form
    481.61/663.91 = 347.06/x
  3. Step 3: Cross multiply
    481.61x = 663.91 × 347.06
  4. Step 4: Simplify right side
    481.61x = 230,412.42
  5. Step 5: Solve for x
    x = 230,412.42/481.61
  6. Step 6: Final answer
    x = 478.43

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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.