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Finding the Fourth Proportional to 493.35, 680.74 and 283.52

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Solution

The fourth proportional to 493.35, 680.74 and 283.52 is: 391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.35 : 680.74 = 283.52 : x
  2. Step 2: Convert to fraction form
    493.35/680.74 = 283.52/x
  3. Step 3: Cross multiply
    493.35x = 680.74 × 283.52
  4. Step 4: Simplify right side
    493.35x = 192,998.58
  5. Step 5: Solve for x
    x = 192,998.58/493.35
  6. Step 6: Final answer
    x = 391.20

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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.