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Finding the Fourth Proportional to 572.11, 857.95 and 206.80

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Solution

The fourth proportional to 572.11, 857.95 and 206.80 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.11 : 857.95 = 206.80 : x
  2. Step 2: Convert to fraction form
    572.11/857.95 = 206.80/x
  3. Step 3: Cross multiply
    572.11x = 857.95 × 206.80
  4. Step 4: Simplify right side
    572.11x = 177,424.06
  5. Step 5: Solve for x
    x = 177,424.06/572.11
  6. Step 6: Final answer
    x = 310.12

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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.