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Finding the Fourth Proportional to 481.52, 665 and 429.98

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Solution

The fourth proportional to 481.52, 665 and 429.98 is: 593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.52 : 665 = 429.98 : x
  2. Step 2: Convert to fraction form
    481.52/665 = 429.98/x
  3. Step 3: Cross multiply
    481.52x = 665 × 429.98
  4. Step 4: Simplify right side
    481.52x = 285,936.70
  5. Step 5: Solve for x
    x = 285,936.70/481.52
  6. Step 6: Final answer
    x = 593.82

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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.