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Finding the Fourth Proportional to 629.75, 942.44 and 464.85

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Solution

The fourth proportional to 629.75, 942.44 and 464.85 is: 695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.75 : 942.44 = 464.85 : x
  2. Step 2: Convert to fraction form
    629.75/942.44 = 464.85/x
  3. Step 3: Cross multiply
    629.75x = 942.44 × 464.85
  4. Step 4: Simplify right side
    629.75x = 438,090.91
  5. Step 5: Solve for x
    x = 438,090.91/629.75
  6. Step 6: Final answer
    x = 695.66

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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.