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Finding the Fourth Proportional to 480.09, 662.43 and 305.37

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Solution

The fourth proportional to 480.09, 662.43 and 305.37 is: 421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.09 : 662.43 = 305.37 : x
  2. Step 2: Convert to fraction form
    480.09/662.43 = 305.37/x
  3. Step 3: Cross multiply
    480.09x = 662.43 × 305.37
  4. Step 4: Simplify right side
    480.09x = 202,286.25
  5. Step 5: Solve for x
    x = 202,286.25/480.09
  6. Step 6: Final answer
    x = 421.35

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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.