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Finding the Fourth Proportional to 482.82, 666.68 and 445.97

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Solution

The fourth proportional to 482.82, 666.68 and 445.97 is: 615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.82 : 666.68 = 445.97 : x
  2. Step 2: Convert to fraction form
    482.82/666.68 = 445.97/x
  3. Step 3: Cross multiply
    482.82x = 666.68 × 445.97
  4. Step 4: Simplify right side
    482.82x = 297,313.72
  5. Step 5: Solve for x
    x = 297,313.72/482.82
  6. Step 6: Final answer
    x = 615.79

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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.