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Finding the Fourth Proportional to 446.80, 668.40 and 403.60

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Solution

The fourth proportional to 446.80, 668.40 and 403.60 is: 603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.80 : 668.40 = 403.60 : x
  2. Step 2: Convert to fraction form
    446.80/668.40 = 403.60/x
  3. Step 3: Cross multiply
    446.80x = 668.40 × 403.60
  4. Step 4: Simplify right side
    446.80x = 269,766.24
  5. Step 5: Solve for x
    x = 269,766.24/446.80
  6. Step 6: Final answer
    x = 603.77

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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.