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Finding the Fourth Proportional to 284.92, 392.25 and 255.76

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Solution

The fourth proportional to 284.92, 392.25 and 255.76 is: 352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.92 : 392.25 = 255.76 : x
  2. Step 2: Convert to fraction form
    284.92/392.25 = 255.76/x
  3. Step 3: Cross multiply
    284.92x = 392.25 × 255.76
  4. Step 4: Simplify right side
    284.92x = 100,321.86
  5. Step 5: Solve for x
    x = 100,321.86/284.92
  6. Step 6: Final answer
    x = 352.11

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