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Finding the Fourth Proportional to 571.20, 857.07 and 327.93

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Solution

The fourth proportional to 571.20, 857.07 and 327.93 is: 492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.20 : 857.07 = 327.93 : x
  2. Step 2: Convert to fraction form
    571.20/857.07 = 327.93/x
  3. Step 3: Cross multiply
    571.20x = 857.07 × 327.93
  4. Step 4: Simplify right side
    571.20x = 281,058.97
  5. Step 5: Solve for x
    x = 281,058.97/571.20
  6. Step 6: Final answer
    x = 492.05

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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.