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Finding the Fourth Proportional to 466.29, 698.98 and 192.57

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Solution

The fourth proportional to 466.29, 698.98 and 192.57 is: 288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.29 : 698.98 = 192.57 : x
  2. Step 2: Convert to fraction form
    466.29/698.98 = 192.57/x
  3. Step 3: Cross multiply
    466.29x = 698.98 × 192.57
  4. Step 4: Simplify right side
    466.29x = 134,605.44
  5. Step 5: Solve for x
    x = 134,605.44/466.29
  6. Step 6: Final answer
    x = 288.67

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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.