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Finding the Fourth Proportional to 471.78, 707.71 and 279

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Solution

The fourth proportional to 471.78, 707.71 and 279 is: 418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.78 : 707.71 = 279 : x
  2. Step 2: Convert to fraction form
    471.78/707.71 = 279/x
  3. Step 3: Cross multiply
    471.78x = 707.71 × 279
  4. Step 4: Simplify right side
    471.78x = 197,451.09
  5. Step 5: Solve for x
    x = 197,451.09/471.78
  6. Step 6: Final answer
    x = 418.52

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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.