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Finding the Fourth Proportional to 543.80, 815.40 and 270.27

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Solution

The fourth proportional to 543.80, 815.40 and 270.27 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.80 : 815.40 = 270.27 : x
  2. Step 2: Convert to fraction form
    543.80/815.40 = 270.27/x
  3. Step 3: Cross multiply
    543.80x = 815.40 × 270.27
  4. Step 4: Simplify right side
    543.80x = 220,378.16
  5. Step 5: Solve for x
    x = 220,378.16/543.80
  6. Step 6: Final answer
    x = 405.26

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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.