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Finding the Fourth Proportional to 427.78, 589.86 and 309.52

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Solution

The fourth proportional to 427.78, 589.86 and 309.52 is: 426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 589.86 = 309.52 : x
  2. Step 2: Convert to fraction form
    427.78/589.86 = 309.52/x
  3. Step 3: Cross multiply
    427.78x = 589.86 × 309.52
  4. Step 4: Simplify right side
    427.78x = 182,568.97
  5. Step 5: Solve for x
    x = 182,568.97/427.78
  6. Step 6: Final answer
    x = 426.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.