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Finding the Fourth Proportional to 629.64, 944.64 and 456.48

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Solution

The fourth proportional to 629.64, 944.64 and 456.48 is: 684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.64 : 944.64 = 456.48 : x
  2. Step 2: Convert to fraction form
    629.64/944.64 = 456.48/x
  3. Step 3: Cross multiply
    629.64x = 944.64 × 456.48
  4. Step 4: Simplify right side
    629.64x = 431,209.27
  5. Step 5: Solve for x
    x = 431,209.27/629.64
  6. Step 6: Final answer
    x = 684.85

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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.