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Finding the Fourth Proportional to 309.83, 464.05 and 206.63

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Solution

The fourth proportional to 309.83, 464.05 and 206.63 is: 309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.83 : 464.05 = 206.63 : x
  2. Step 2: Convert to fraction form
    309.83/464.05 = 206.63/x
  3. Step 3: Cross multiply
    309.83x = 464.05 × 206.63
  4. Step 4: Simplify right side
    309.83x = 95,885.61
  5. Step 5: Solve for x
    x = 95,885.61/309.83
  6. Step 6: Final answer
    x = 309.48

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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.