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Finding the Fourth Proportional to 409.34, 614.03 and 120.75

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Solution

The fourth proportional to 409.34, 614.03 and 120.75 is: 181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.34 : 614.03 = 120.75 : x
  2. Step 2: Convert to fraction form
    409.34/614.03 = 120.75/x
  3. Step 3: Cross multiply
    409.34x = 614.03 × 120.75
  4. Step 4: Simplify right side
    409.34x = 74,143.52
  5. Step 5: Solve for x
    x = 74,143.52/409.34
  6. Step 6: Final answer
    x = 181.13

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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.