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Finding the Fourth Proportional to 301.06, 450.30 and 240.28

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Solution

The fourth proportional to 301.06, 450.30 and 240.28 is: 359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.06 : 450.30 = 240.28 : x
  2. Step 2: Convert to fraction form
    301.06/450.30 = 240.28/x
  3. Step 3: Cross multiply
    301.06x = 450.30 × 240.28
  4. Step 4: Simplify right side
    301.06x = 108,198.08
  5. Step 5: Solve for x
    x = 108,198.08/301.06
  6. Step 6: Final answer
    x = 359.39

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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.