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Finding the Fourth Proportional to 629.93, 869.29 and 409.32

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Solution

The fourth proportional to 629.93, 869.29 and 409.32 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.93 : 869.29 = 409.32 : x
  2. Step 2: Convert to fraction form
    629.93/869.29 = 409.32/x
  3. Step 3: Cross multiply
    629.93x = 869.29 × 409.32
  4. Step 4: Simplify right side
    629.93x = 355,816.76
  5. Step 5: Solve for x
    x = 355,816.76/629.93
  6. Step 6: Final answer
    x = 564.85

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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.