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Finding the Fourth Proportional to 481.53, 663.96 and 434.89

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Solution

The fourth proportional to 481.53, 663.96 and 434.89 is: 599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.53 : 663.96 = 434.89 : x
  2. Step 2: Convert to fraction form
    481.53/663.96 = 434.89/x
  3. Step 3: Cross multiply
    481.53x = 663.96 × 434.89
  4. Step 4: Simplify right side
    481.53x = 288,749.56
  5. Step 5: Solve for x
    x = 288,749.56/481.53
  6. Step 6: Final answer
    x = 599.65

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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.