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Finding the Fourth Proportional to 309.86, 464.75 and 207.21

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Solution

The fourth proportional to 309.86, 464.75 and 207.21 is: 310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.86 : 464.75 = 207.21 : x
  2. Step 2: Convert to fraction form
    309.86/464.75 = 207.21/x
  3. Step 3: Cross multiply
    309.86x = 464.75 × 207.21
  4. Step 4: Simplify right side
    309.86x = 96,300.88
  5. Step 5: Solve for x
    x = 96,300.88/309.86
  6. Step 6: Final answer
    x = 310.79

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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.