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Finding the Fourth Proportional to 445.78, 666.99 and 309.09

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Solution

The fourth proportional to 445.78, 666.99 and 309.09 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.78 : 666.99 = 309.09 : x
  2. Step 2: Convert to fraction form
    445.78/666.99 = 309.09/x
  3. Step 3: Cross multiply
    445.78x = 666.99 × 309.09
  4. Step 4: Simplify right side
    445.78x = 206,159.94
  5. Step 5: Solve for x
    x = 206,159.94/445.78
  6. Step 6: Final answer
    x = 462.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.