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Finding the Fourth Proportional to 480.75, 664.23 and 462.52

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Solution

The fourth proportional to 480.75, 664.23 and 462.52 is: 639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.75 : 664.23 = 462.52 : x
  2. Step 2: Convert to fraction form
    480.75/664.23 = 462.52/x
  3. Step 3: Cross multiply
    480.75x = 664.23 × 462.52
  4. Step 4: Simplify right side
    480.75x = 307,219.66
  5. Step 5: Solve for x
    x = 307,219.66/480.75
  6. Step 6: Final answer
    x = 639.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.