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Finding the Fourth Proportional to 409.54, 614.44 and 120.98

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Solution

The fourth proportional to 409.54, 614.44 and 120.98 is: 181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.54 : 614.44 = 120.98 : x
  2. Step 2: Convert to fraction form
    409.54/614.44 = 120.98/x
  3. Step 3: Cross multiply
    409.54x = 614.44 × 120.98
  4. Step 4: Simplify right side
    409.54x = 74,334.95
  5. Step 5: Solve for x
    x = 74,334.95/409.54
  6. Step 6: Final answer
    x = 181.51

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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.