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Finding the Fourth Proportional to 629.08, 867 and 517.84

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Solution

The fourth proportional to 629.08, 867 and 517.84 is: 713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.08 : 867 = 517.84 : x
  2. Step 2: Convert to fraction form
    629.08/867 = 517.84/x
  3. Step 3: Cross multiply
    629.08x = 867 × 517.84
  4. Step 4: Simplify right side
    629.08x = 448,967.28
  5. Step 5: Solve for x
    x = 448,967.28/629.08
  6. Step 6: Final answer
    x = 713.69

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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.