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Finding the Fourth Proportional to 571.78, 857.46 and 279.10

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Solution

The fourth proportional to 571.78, 857.46 and 279.10 is: 418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.78 : 857.46 = 279.10 : x
  2. Step 2: Convert to fraction form
    571.78/857.46 = 279.10/x
  3. Step 3: Cross multiply
    571.78x = 857.46 × 279.10
  4. Step 4: Simplify right side
    571.78x = 239,317.09
  5. Step 5: Solve for x
    x = 239,317.09/571.78
  6. Step 6: Final answer
    x = 418.55

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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.