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Finding the Fourth Proportional to 409.40, 614.09 and 116.90

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Solution

The fourth proportional to 409.40, 614.09 and 116.90 is: 175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.40 : 614.09 = 116.90 : x
  2. Step 2: Convert to fraction form
    409.40/614.09 = 116.90/x
  3. Step 3: Cross multiply
    409.40x = 614.09 × 116.90
  4. Step 4: Simplify right side
    409.40x = 71,784.34
  5. Step 5: Solve for x
    x = 71,784.34/409.40
  6. Step 6: Final answer
    x = 175.34

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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.