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Finding the Fourth Proportional to 476.43, 713.36 and 329.87

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Solution

The fourth proportional to 476.43, 713.36 and 329.87 is: 493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.43 : 713.36 = 329.87 : x
  2. Step 2: Convert to fraction form
    476.43/713.36 = 329.87/x
  3. Step 3: Cross multiply
    476.43x = 713.36 × 329.87
  4. Step 4: Simplify right side
    476.43x = 235,316.82
  5. Step 5: Solve for x
    x = 235,316.82/476.43
  6. Step 6: Final answer
    x = 493.91

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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.