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Finding the Fourth Proportional to 629.81, 944.96 and 264.91

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Solution

The fourth proportional to 629.81, 944.96 and 264.91 is: 397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.81 : 944.96 = 264.91 : x
  2. Step 2: Convert to fraction form
    629.81/944.96 = 264.91/x
  3. Step 3: Cross multiply
    629.81x = 944.96 × 264.91
  4. Step 4: Simplify right side
    629.81x = 250,325.67
  5. Step 5: Solve for x
    x = 250,325.67/629.81
  6. Step 6: Final answer
    x = 397.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.