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Finding the Fourth Proportional to 629.36, 868.64 and 367.52

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Solution

The fourth proportional to 629.36, 868.64 and 367.52 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.36 : 868.64 = 367.52 : x
  2. Step 2: Convert to fraction form
    629.36/868.64 = 367.52/x
  3. Step 3: Cross multiply
    629.36x = 868.64 × 367.52
  4. Step 4: Simplify right side
    629.36x = 319,242.57
  5. Step 5: Solve for x
    x = 319,242.57/629.36
  6. Step 6: Final answer
    x = 507.25

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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.