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Finding the Fourth Proportional to 668.22, 1,002.14 and 283.38

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Solution

The fourth proportional to 668.22, 1,002.14 and 283.38 is: 424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.22 : 1,002.14 = 283.38 : x
  2. Step 2: Convert to fraction form
    668.22/1,002.14 = 283.38/x
  3. Step 3: Cross multiply
    668.22x = 1,002.14 × 283.38
  4. Step 4: Simplify right side
    668.22x = 283,986.43
  5. Step 5: Solve for x
    x = 283,986.43/668.22
  6. Step 6: Final answer
    x = 424.99

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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.