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Finding the Fourth Proportional to 660.25, 989.77 and 335.85

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Solution

The fourth proportional to 660.25, 989.77 and 335.85 is: 503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.25 : 989.77 = 335.85 : x
  2. Step 2: Convert to fraction form
    660.25/989.77 = 335.85/x
  3. Step 3: Cross multiply
    660.25x = 989.77 × 335.85
  4. Step 4: Simplify right side
    660.25x = 332,410.33
  5. Step 5: Solve for x
    x = 332,410.33/660.25
  6. Step 6: Final answer
    x = 503.46

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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.