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Finding the Fourth Proportional to 629.89, 869.13 and 367.84

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Solution

The fourth proportional to 629.89, 869.13 and 367.84 is: 507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.89 : 869.13 = 367.84 : x
  2. Step 2: Convert to fraction form
    629.89/869.13 = 367.84/x
  3. Step 3: Cross multiply
    629.89x = 869.13 × 367.84
  4. Step 4: Simplify right side
    629.89x = 319,700.78
  5. Step 5: Solve for x
    x = 319,700.78/629.89
  6. Step 6: Final answer
    x = 507.55

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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.