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Finding the Fourth Proportional to 480.32, 662.94 and 305.63

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Solution

The fourth proportional to 480.32, 662.94 and 305.63 is: 421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 662.94 = 305.63 : x
  2. Step 2: Convert to fraction form
    480.32/662.94 = 305.63/x
  3. Step 3: Cross multiply
    480.32x = 662.94 × 305.63
  4. Step 4: Simplify right side
    480.32x = 202,611.04
  5. Step 5: Solve for x
    x = 202,611.04/480.32
  6. Step 6: Final answer
    x = 421.83

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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.