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Finding the Fourth Proportional to 629.38, 944.76 and 464.34

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Solution

The fourth proportional to 629.38, 944.76 and 464.34 is: 697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.38 : 944.76 = 464.34 : x
  2. Step 2: Convert to fraction form
    629.38/944.76 = 464.34/x
  3. Step 3: Cross multiply
    629.38x = 944.76 × 464.34
  4. Step 4: Simplify right side
    629.38x = 438,686.32
  5. Step 5: Solve for x
    x = 438,686.32/629.38
  6. Step 6: Final answer
    x = 697.01

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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.