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Finding the Fourth Proportional to 629.60, 868.78 and 349.79

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Solution

The fourth proportional to 629.60, 868.78 and 349.79 is: 482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.60 : 868.78 = 349.79 : x
  2. Step 2: Convert to fraction form
    629.60/868.78 = 349.79/x
  3. Step 3: Cross multiply
    629.60x = 868.78 × 349.79
  4. Step 4: Simplify right side
    629.60x = 303,885.34
  5. Step 5: Solve for x
    x = 303,885.34/629.60
  6. Step 6: Final answer
    x = 482.67

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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.