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Finding the Fourth Proportional to 629.69, 868.44 and 405.66

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Solution

The fourth proportional to 629.69, 868.44 and 405.66 is: 559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.69 : 868.44 = 405.66 : x
  2. Step 2: Convert to fraction form
    629.69/868.44 = 405.66/x
  3. Step 3: Cross multiply
    629.69x = 868.44 × 405.66
  4. Step 4: Simplify right side
    629.69x = 352,291.37
  5. Step 5: Solve for x
    x = 352,291.37/629.69
  6. Step 6: Final answer
    x = 559.47

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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.