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Finding the Fourth Proportional to 629.91, 945.27 and 264.87

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Solution

The fourth proportional to 629.91, 945.27 and 264.87 is: 397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.91 : 945.27 = 264.87 : x
  2. Step 2: Convert to fraction form
    629.91/945.27 = 264.87/x
  3. Step 3: Cross multiply
    629.91x = 945.27 × 264.87
  4. Step 4: Simplify right side
    629.91x = 250,373.66
  5. Step 5: Solve for x
    x = 250,373.66/629.91
  6. Step 6: Final answer
    x = 397.48

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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.