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Finding the Fourth Proportional to 309.78, 427.14 and 282.66

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Solution

The fourth proportional to 309.78, 427.14 and 282.66 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.78 : 427.14 = 282.66 : x
  2. Step 2: Convert to fraction form
    309.78/427.14 = 282.66/x
  3. Step 3: Cross multiply
    309.78x = 427.14 × 282.66
  4. Step 4: Simplify right side
    309.78x = 120,735.39
  5. Step 5: Solve for x
    x = 120,735.39/309.78
  6. Step 6: Final answer
    x = 389.75

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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.