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Finding the Fourth Proportional to 629.08, 942.92 and 385.08

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Solution

The fourth proportional to 629.08, 942.92 and 385.08 is: 577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.08 : 942.92 = 385.08 : x
  2. Step 2: Convert to fraction form
    629.08/942.92 = 385.08/x
  3. Step 3: Cross multiply
    629.08x = 942.92 × 385.08
  4. Step 4: Simplify right side
    629.08x = 363,099.63
  5. Step 5: Solve for x
    x = 363,099.63/629.08
  6. Step 6: Final answer
    x = 577.19

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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.