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Finding the Fourth Proportional to 790.40, 1,185.30 and 270.26

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Solution

The fourth proportional to 790.40, 1,185.30 and 270.26 is: 405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.40 : 1,185.30 = 270.26 : x
  2. Step 2: Convert to fraction form
    790.40/1,185.30 = 270.26/x
  3. Step 3: Cross multiply
    790.40x = 1,185.30 × 270.26
  4. Step 4: Simplify right side
    790.40x = 320,336.72
  5. Step 5: Solve for x
    x = 320,336.72/790.40
  6. Step 6: Final answer
    x = 405.29

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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.