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Finding the Fourth Proportional to 382.78, 528.06 and 251.74

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Solution

The fourth proportional to 382.78, 528.06 and 251.74 is: 347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.78 : 528.06 = 251.74 : x
  2. Step 2: Convert to fraction form
    382.78/528.06 = 251.74/x
  3. Step 3: Cross multiply
    382.78x = 528.06 × 251.74
  4. Step 4: Simplify right side
    382.78x = 132,933.82
  5. Step 5: Solve for x
    x = 132,933.82/382.78
  6. Step 6: Final answer
    x = 347.29

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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.