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Finding the Fourth Proportional to 668.40, 1,002.04 and 283.40

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Solution

The fourth proportional to 668.40, 1,002.04 and 283.40 is: 424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.40 : 1,002.04 = 283.40 : x
  2. Step 2: Convert to fraction form
    668.40/1,002.04 = 283.40/x
  3. Step 3: Cross multiply
    668.40x = 1,002.04 × 283.40
  4. Step 4: Simplify right side
    668.40x = 283,978.14
  5. Step 5: Solve for x
    x = 283,978.14/668.40
  6. Step 6: Final answer
    x = 424.86

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