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Finding the Fourth Proportional to 572.18, 857.91 and 206.81

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Solution

The fourth proportional to 572.18, 857.91 and 206.81 is: 310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.18 : 857.91 = 206.81 : x
  2. Step 2: Convert to fraction form
    572.18/857.91 = 206.81/x
  3. Step 3: Cross multiply
    572.18x = 857.91 × 206.81
  4. Step 4: Simplify right side
    572.18x = 177,420.08
  5. Step 5: Solve for x
    x = 177,420.08/572.18
  6. Step 6: Final answer
    x = 310.08

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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.