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Finding the Fourth Proportional to 482.78, 666.46 and 323.54

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Solution

The fourth proportional to 482.78, 666.46 and 323.54 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.78 : 666.46 = 323.54 : x
  2. Step 2: Convert to fraction form
    482.78/666.46 = 323.54/x
  3. Step 3: Cross multiply
    482.78x = 666.46 × 323.54
  4. Step 4: Simplify right side
    482.78x = 215,623.54
  5. Step 5: Solve for x
    x = 215,623.54/482.78
  6. Step 6: Final answer
    x = 446.63

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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.