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Finding the Fourth Proportional to 668.17, 1,002.26 and 379.81

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Solution

The fourth proportional to 668.17, 1,002.26 and 379.81 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.17 : 1,002.26 = 379.81 : x
  2. Step 2: Convert to fraction form
    668.17/1,002.26 = 379.81/x
  3. Step 3: Cross multiply
    668.17x = 1,002.26 × 379.81
  4. Step 4: Simplify right side
    668.17x = 380,668.37
  5. Step 5: Solve for x
    x = 380,668.37/668.17
  6. Step 6: Final answer
    x = 569.72

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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.