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Finding the Fourth Proportional to 409.38, 614.00 and 120.75

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Solution

The fourth proportional to 409.38, 614.00 and 120.75 is: 181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 614.00 = 120.75 : x
  2. Step 2: Convert to fraction form
    409.38/614.00 = 120.75/x
  3. Step 3: Cross multiply
    409.38x = 614.00 × 120.75
  4. Step 4: Simplify right side
    409.38x = 74,139.90
  5. Step 5: Solve for x
    x = 74,139.90/409.38
  6. Step 6: Final answer
    x = 181.10

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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.