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Finding the Fourth Proportional to 629.91, 945.44 and 454.38

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Solution

The fourth proportional to 629.91, 945.44 and 454.38 is: 681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.91 : 945.44 = 454.38 : x
  2. Step 2: Convert to fraction form
    629.91/945.44 = 454.38/x
  3. Step 3: Cross multiply
    629.91x = 945.44 × 454.38
  4. Step 4: Simplify right side
    629.91x = 429,586.76
  5. Step 5: Solve for x
    x = 429,586.76/629.91
  6. Step 6: Final answer
    x = 681.98

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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.