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Finding the Fourth Proportional to 409.30, 614.08 and 120.74

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Solution

The fourth proportional to 409.30, 614.08 and 120.74 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.30 : 614.08 = 120.74 : x
  2. Step 2: Convert to fraction form
    409.30/614.08 = 120.74/x
  3. Step 3: Cross multiply
    409.30x = 614.08 × 120.74
  4. Step 4: Simplify right side
    409.30x = 74,144.02
  5. Step 5: Solve for x
    x = 74,144.02/409.30
  6. Step 6: Final answer
    x = 181.15

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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.