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Finding the Fourth Proportional to 284.68, 393.24 and 255.52

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Solution

The fourth proportional to 284.68, 393.24 and 255.52 is: 352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.68 : 393.24 = 255.52 : x
  2. Step 2: Convert to fraction form
    284.68/393.24 = 255.52/x
  3. Step 3: Cross multiply
    284.68x = 393.24 × 255.52
  4. Step 4: Simplify right side
    284.68x = 100,480.68
  5. Step 5: Solve for x
    x = 100,480.68/284.68
  6. Step 6: Final answer
    x = 352.96

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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.