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Finding the Fourth Proportional to 629.46, 869.13 and 442.62

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Solution

The fourth proportional to 629.46, 869.13 and 442.62 is: 611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.46 : 869.13 = 442.62 : x
  2. Step 2: Convert to fraction form
    629.46/869.13 = 442.62/x
  3. Step 3: Cross multiply
    629.46x = 869.13 × 442.62
  4. Step 4: Simplify right side
    629.46x = 384,694.32
  5. Step 5: Solve for x
    x = 384,694.32/629.46
  6. Step 6: Final answer
    x = 611.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.