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Finding the Fourth Proportional to 629.85, 869.21 and 350.06

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Solution

The fourth proportional to 629.85, 869.21 and 350.06 is: 483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.85 : 869.21 = 350.06 : x
  2. Step 2: Convert to fraction form
    629.85/869.21 = 350.06/x
  3. Step 3: Cross multiply
    629.85x = 869.21 × 350.06
  4. Step 4: Simplify right side
    629.85x = 304,269.56
  5. Step 5: Solve for x
    x = 304,269.56/629.85
  6. Step 6: Final answer
    x = 483.08

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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.