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Finding the Fourth Proportional to 309.96, 464.37 and 255.29

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Solution

The fourth proportional to 309.96, 464.37 and 255.29 is: 382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 464.37 = 255.29 : x
  2. Step 2: Convert to fraction form
    309.96/464.37 = 255.29/x
  3. Step 3: Cross multiply
    309.96x = 464.37 × 255.29
  4. Step 4: Simplify right side
    309.96x = 118,545.74
  5. Step 5: Solve for x
    x = 118,545.74/309.96
  6. Step 6: Final answer
    x = 382.45

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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.