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Finding the Fourth Proportional to 629.06, 867.93 and 408.02

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Solution

The fourth proportional to 629.06, 867.93 and 408.02 is: 562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.06 : 867.93 = 408.02 : x
  2. Step 2: Convert to fraction form
    629.06/867.93 = 408.02/x
  3. Step 3: Cross multiply
    629.06x = 867.93 × 408.02
  4. Step 4: Simplify right side
    629.06x = 354,132.80
  5. Step 5: Solve for x
    x = 354,132.80/629.06
  6. Step 6: Final answer
    x = 562.96

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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.