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Finding the Fourth Proportional to 581.97, 872.96 and 171.11

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Solution

The fourth proportional to 581.97, 872.96 and 171.11 is: 256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.97 : 872.96 = 171.11 : x
  2. Step 2: Convert to fraction form
    581.97/872.96 = 171.11/x
  3. Step 3: Cross multiply
    581.97x = 872.96 × 171.11
  4. Step 4: Simplify right side
    581.97x = 149,372.19
  5. Step 5: Solve for x
    x = 149,372.19/581.97
  6. Step 6: Final answer
    x = 256.67

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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.