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Finding the Fourth Proportional to 392.45, 587.82 and 284

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Solution

The fourth proportional to 392.45, 587.82 and 284 is: 425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 587.82 = 284 : x
  2. Step 2: Convert to fraction form
    392.45/587.82 = 284/x
  3. Step 3: Cross multiply
    392.45x = 587.82 × 284
  4. Step 4: Simplify right side
    392.45x = 166,940.88
  5. Step 5: Solve for x
    x = 166,940.88/392.45
  6. Step 6: Final answer
    x = 425.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.