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Finding the Fourth Proportional to 629.97, 869.37 and 368.14

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Solution

The fourth proportional to 629.97, 869.37 and 368.14 is: 508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.97 : 869.37 = 368.14 : x
  2. Step 2: Convert to fraction form
    629.97/869.37 = 368.14/x
  3. Step 3: Cross multiply
    629.97x = 869.37 × 368.14
  4. Step 4: Simplify right side
    629.97x = 320,049.87
  5. Step 5: Solve for x
    x = 320,049.87/629.97
  6. Step 6: Final answer
    x = 508.04

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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.