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Finding the Fourth Proportional to 493.95, 681.43 and 284.09

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Solution

The fourth proportional to 493.95, 681.43 and 284.09 is: 391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.95 : 681.43 = 284.09 : x
  2. Step 2: Convert to fraction form
    493.95/681.43 = 284.09/x
  3. Step 3: Cross multiply
    493.95x = 681.43 × 284.09
  4. Step 4: Simplify right side
    493.95x = 193,582.62
  5. Step 5: Solve for x
    x = 193,582.62/493.95
  6. Step 6: Final answer
    x = 391.91

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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.