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Finding the Fourth Proportional to 591.10, 814.96 and 480.33

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Solution

The fourth proportional to 591.10, 814.96 and 480.33 is: 662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.10 : 814.96 = 480.33 : x
  2. Step 2: Convert to fraction form
    591.10/814.96 = 480.33/x
  3. Step 3: Cross multiply
    591.10x = 814.96 × 480.33
  4. Step 4: Simplify right side
    591.10x = 391,450.34
  5. Step 5: Solve for x
    x = 391,450.34/591.10
  6. Step 6: Final answer
    x = 662.24

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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.