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Finding the Fourth Proportional to 629.87, 869.31 and 364.32

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Solution

The fourth proportional to 629.87, 869.31 and 364.32 is: 502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.87 : 869.31 = 364.32 : x
  2. Step 2: Convert to fraction form
    629.87/869.31 = 364.32/x
  3. Step 3: Cross multiply
    629.87x = 869.31 × 364.32
  4. Step 4: Simplify right side
    629.87x = 316,707.02
  5. Step 5: Solve for x
    x = 316,707.02/629.87
  6. Step 6: Final answer
    x = 502.82

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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.