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Finding the Fourth Proportional to 464.92, 697.61 and 191.05

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Solution

The fourth proportional to 464.92, 697.61 and 191.05 is: 286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.92 : 697.61 = 191.05 : x
  2. Step 2: Convert to fraction form
    464.92/697.61 = 191.05/x
  3. Step 3: Cross multiply
    464.92x = 697.61 × 191.05
  4. Step 4: Simplify right side
    464.92x = 133,277.44
  5. Step 5: Solve for x
    x = 133,277.44/464.92
  6. Step 6: Final answer
    x = 286.67

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Why These Related Problems?

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