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Finding the Fourth Proportional to 762.62, 1,144.53 and 329.67

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Solution

The fourth proportional to 762.62, 1,144.53 and 329.67 is: 494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.62 : 1,144.53 = 329.67 : x
  2. Step 2: Convert to fraction form
    762.62/1,144.53 = 329.67/x
  3. Step 3: Cross multiply
    762.62x = 1,144.53 × 329.67
  4. Step 4: Simplify right side
    762.62x = 377,317.21
  5. Step 5: Solve for x
    x = 377,317.21/762.62
  6. Step 6: Final answer
    x = 494.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.