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Finding the Fourth Proportional to 571.47, 857.36 and 278.94

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Solution

The fourth proportional to 571.47, 857.36 and 278.94 is: 418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.47 : 857.36 = 278.94 : x
  2. Step 2: Convert to fraction form
    571.47/857.36 = 278.94/x
  3. Step 3: Cross multiply
    571.47x = 857.36 × 278.94
  4. Step 4: Simplify right side
    571.47x = 239,150.60
  5. Step 5: Solve for x
    x = 239,150.60/571.47
  6. Step 6: Final answer
    x = 418.48

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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.