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Finding the Fourth Proportional to 309.74, 464.20 and 295.97

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Solution

The fourth proportional to 309.74, 464.20 and 295.97 is: 443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.74 : 464.20 = 295.97 : x
  2. Step 2: Convert to fraction form
    309.74/464.20 = 295.97/x
  3. Step 3: Cross multiply
    309.74x = 464.20 × 295.97
  4. Step 4: Simplify right side
    309.74x = 137,386.21
  5. Step 5: Solve for x
    x = 137,386.21/309.74
  6. Step 6: Final answer
    x = 443.56

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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.