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Finding the Fourth Proportional to 482.12, 665.15 and 305.09

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Solution

The fourth proportional to 482.12, 665.15 and 305.09 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.12 : 665.15 = 305.09 : x
  2. Step 2: Convert to fraction form
    482.12/665.15 = 305.09/x
  3. Step 3: Cross multiply
    482.12x = 665.15 × 305.09
  4. Step 4: Simplify right side
    482.12x = 202,930.75
  5. Step 5: Solve for x
    x = 202,930.75/482.12
  6. Step 6: Final answer
    x = 420.92

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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.