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Finding the Fourth Proportional to 409.03, 613.40 and 135.06

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Solution

The fourth proportional to 409.03, 613.40 and 135.06 is: 202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.03 : 613.40 = 135.06 : x
  2. Step 2: Convert to fraction form
    409.03/613.40 = 135.06/x
  3. Step 3: Cross multiply
    409.03x = 613.40 × 135.06
  4. Step 4: Simplify right side
    409.03x = 82,845.80
  5. Step 5: Solve for x
    x = 82,845.80/409.03
  6. Step 6: Final answer
    x = 202.54

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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.