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Finding the Fourth Proportional to 668.33, 1,002.58 and 229.67

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Solution

The fourth proportional to 668.33, 1,002.58 and 229.67 is: 344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.33 : 1,002.58 = 229.67 : x
  2. Step 2: Convert to fraction form
    668.33/1,002.58 = 229.67/x
  3. Step 3: Cross multiply
    668.33x = 1,002.58 × 229.67
  4. Step 4: Simplify right side
    668.33x = 230,262.55
  5. Step 5: Solve for x
    x = 230,262.55/668.33
  6. Step 6: Final answer
    x = 344.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.