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Finding the Fourth Proportional to 309.43, 464.13 and 301.68

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Solution

The fourth proportional to 309.43, 464.13 and 301.68 is: 452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.43 : 464.13 = 301.68 : x
  2. Step 2: Convert to fraction form
    309.43/464.13 = 301.68/x
  3. Step 3: Cross multiply
    309.43x = 464.13 × 301.68
  4. Step 4: Simplify right side
    309.43x = 140,018.74
  5. Step 5: Solve for x
    x = 140,018.74/309.43
  6. Step 6: Final answer
    x = 452.51

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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.