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Finding the Fourth Proportional to 668.64, 1,002.97 and 303.36

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Solution

The fourth proportional to 668.64, 1,002.97 and 303.36 is: 455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.64 : 1,002.97 = 303.36 : x
  2. Step 2: Convert to fraction form
    668.64/1,002.97 = 303.36/x
  3. Step 3: Cross multiply
    668.64x = 1,002.97 × 303.36
  4. Step 4: Simplify right side
    668.64x = 304,257.60
  5. Step 5: Solve for x
    x = 304,257.60/668.64
  6. Step 6: Final answer
    x = 455.04

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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.