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Finding the Fourth Proportional to 571.55, 857.49 and 206.24

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Solution

The fourth proportional to 571.55, 857.49 and 206.24 is: 309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.55 : 857.49 = 206.24 : x
  2. Step 2: Convert to fraction form
    571.55/857.49 = 206.24/x
  3. Step 3: Cross multiply
    571.55x = 857.49 × 206.24
  4. Step 4: Simplify right side
    571.55x = 176,848.74
  5. Step 5: Solve for x
    x = 176,848.74/571.55
  6. Step 6: Final answer
    x = 309.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.