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Finding the Fourth Proportional to 482.09, 664.07 and 455.63

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Solution

The fourth proportional to 482.09, 664.07 and 455.63 is: 627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.09 : 664.07 = 455.63 : x
  2. Step 2: Convert to fraction form
    482.09/664.07 = 455.63/x
  3. Step 3: Cross multiply
    482.09x = 664.07 × 455.63
  4. Step 4: Simplify right side
    482.09x = 302,564.62
  5. Step 5: Solve for x
    x = 302,564.62/482.09
  6. Step 6: Final answer
    x = 627.62

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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.