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Finding the Fourth Proportional to 629.79, 869.14 and 408.93

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Solution

The fourth proportional to 629.79, 869.14 and 408.93 is: 564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.79 : 869.14 = 408.93 : x
  2. Step 2: Convert to fraction form
    629.79/869.14 = 408.93/x
  3. Step 3: Cross multiply
    629.79x = 869.14 × 408.93
  4. Step 4: Simplify right side
    629.79x = 355,417.42
  5. Step 5: Solve for x
    x = 355,417.42/629.79
  6. Step 6: Final answer
    x = 564.34

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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.