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Finding the Fourth Proportional to 629.37, 946.08 and 596.97

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Solution

The fourth proportional to 629.37, 946.08 and 596.97 is: 897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.37 : 946.08 = 596.97 : x
  2. Step 2: Convert to fraction form
    629.37/946.08 = 596.97/x
  3. Step 3: Cross multiply
    629.37x = 946.08 × 596.97
  4. Step 4: Simplify right side
    629.37x = 564,781.38
  5. Step 5: Solve for x
    x = 564,781.38/629.37
  6. Step 6: Final answer
    x = 897.38

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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.