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Finding the Fourth Proportional to 306.54, 460.22 and 294.20

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Solution

The fourth proportional to 306.54, 460.22 and 294.20 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.54 : 460.22 = 294.20 : x
  2. Step 2: Convert to fraction form
    306.54/460.22 = 294.20/x
  3. Step 3: Cross multiply
    306.54x = 460.22 × 294.20
  4. Step 4: Simplify right side
    306.54x = 135,392.95
  5. Step 5: Solve for x
    x = 135,392.95/306.54
  6. Step 6: Final answer
    x = 441.68

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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.