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Finding the Fourth Proportional to 629.87, 945.24 and 219.01

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Solution

The fourth proportional to 629.87, 945.24 and 219.01 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.87 : 945.24 = 219.01 : x
  2. Step 2: Convert to fraction form
    629.87/945.24 = 219.01/x
  3. Step 3: Cross multiply
    629.87x = 945.24 × 219.01
  4. Step 4: Simplify right side
    629.87x = 207,012.94
  5. Step 5: Solve for x
    x = 207,012.94/629.87
  6. Step 6: Final answer
    x = 328.66

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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.