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Finding the Fourth Proportional to 668.61, 1,002.30 and 303.20

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Solution

The fourth proportional to 668.61, 1,002.30 and 303.20 is: 454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.61 : 1,002.30 = 303.20 : x
  2. Step 2: Convert to fraction form
    668.61/1,002.30 = 303.20/x
  3. Step 3: Cross multiply
    668.61x = 1,002.30 × 303.20
  4. Step 4: Simplify right side
    668.61x = 303,897.36
  5. Step 5: Solve for x
    x = 303,897.36/668.61
  6. Step 6: Final answer
    x = 454.52

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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.