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Finding the Fourth Proportional to 493.61, 681.14 and 283.82

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Solution

The fourth proportional to 493.61, 681.14 and 283.82 is: 391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.61 : 681.14 = 283.82 : x
  2. Step 2: Convert to fraction form
    493.61/681.14 = 283.82/x
  3. Step 3: Cross multiply
    493.61x = 681.14 × 283.82
  4. Step 4: Simplify right side
    493.61x = 193,321.15
  5. Step 5: Solve for x
    x = 193,321.15/493.61
  6. Step 6: Final answer
    x = 391.65

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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.