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Finding the Fourth Proportional to 629.70, 944.94 and 467.82

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Solution

The fourth proportional to 629.70, 944.94 and 467.82 is: 702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.70 : 944.94 = 467.82 : x
  2. Step 2: Convert to fraction form
    629.70/944.94 = 467.82/x
  3. Step 3: Cross multiply
    629.70x = 944.94 × 467.82
  4. Step 4: Simplify right side
    629.70x = 442,061.83
  5. Step 5: Solve for x
    x = 442,061.83/629.70
  6. Step 6: Final answer
    x = 702.02

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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.