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Finding the Fourth Proportional to 571.38, 857.27 and 328.06

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Solution

The fourth proportional to 571.38, 857.27 and 328.06 is: 492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.38 : 857.27 = 328.06 : x
  2. Step 2: Convert to fraction form
    571.38/857.27 = 328.06/x
  3. Step 3: Cross multiply
    571.38x = 857.27 × 328.06
  4. Step 4: Simplify right side
    571.38x = 281,236.00
  5. Step 5: Solve for x
    x = 281,236.00/571.38
  6. Step 6: Final answer
    x = 492.20

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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.