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Finding the Fourth Proportional to 493.60, 739.92 and 377.68

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Solution

The fourth proportional to 493.60, 739.92 and 377.68 is: 566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.60 : 739.92 = 377.68 : x
  2. Step 2: Convert to fraction form
    493.60/739.92 = 377.68/x
  3. Step 3: Cross multiply
    493.60x = 739.92 × 377.68
  4. Step 4: Simplify right side
    493.60x = 279,452.99
  5. Step 5: Solve for x
    x = 279,452.99/493.60
  6. Step 6: Final answer
    x = 566.15

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Why These Related Problems?

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