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Finding the Fourth Proportional to 629.34, 944.10 and 464.46

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Solution

The fourth proportional to 629.34, 944.10 and 464.46 is: 696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.34 : 944.10 = 464.46 : x
  2. Step 2: Convert to fraction form
    629.34/944.10 = 464.46/x
  3. Step 3: Cross multiply
    629.34x = 944.10 × 464.46
  4. Step 4: Simplify right side
    629.34x = 438,496.69
  5. Step 5: Solve for x
    x = 438,496.69/629.34
  6. Step 6: Final answer
    x = 696.76

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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.