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Finding the Fourth Proportional to 591.58, 814.51 and 481.42

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Solution

The fourth proportional to 591.58, 814.51 and 481.42 is: 662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.58 : 814.51 = 481.42 : x
  2. Step 2: Convert to fraction form
    591.58/814.51 = 481.42/x
  3. Step 3: Cross multiply
    591.58x = 814.51 × 481.42
  4. Step 4: Simplify right side
    591.58x = 392,121.40
  5. Step 5: Solve for x
    x = 392,121.40/591.58
  6. Step 6: Final answer
    x = 662.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.