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Finding the Fourth Proportional to 812.41, 1,218.63 and 292.44

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Solution

The fourth proportional to 812.41, 1,218.63 and 292.44 is: 438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.41 : 1,218.63 = 292.44 : x
  2. Step 2: Convert to fraction form
    812.41/1,218.63 = 292.44/x
  3. Step 3: Cross multiply
    812.41x = 1,218.63 × 292.44
  4. Step 4: Simplify right side
    812.41x = 356,376.16
  5. Step 5: Solve for x
    x = 356,376.16/812.41
  6. Step 6: Final answer
    x = 438.67

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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.