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Finding the Fourth Proportional to 581.77, 872.71 and 191.77

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Solution

The fourth proportional to 581.77, 872.71 and 191.77 is: 287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.77 : 872.71 = 191.77 : x
  2. Step 2: Convert to fraction form
    581.77/872.71 = 191.77/x
  3. Step 3: Cross multiply
    581.77x = 872.71 × 191.77
  4. Step 4: Simplify right side
    581.77x = 167,359.85
  5. Step 5: Solve for x
    x = 167,359.85/581.77
  6. Step 6: Final answer
    x = 287.67

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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.