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Finding the Fourth Proportional to 543.08, 814.54 and 218.44

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Solution

The fourth proportional to 543.08, 814.54 and 218.44 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.08 : 814.54 = 218.44 : x
  2. Step 2: Convert to fraction form
    543.08/814.54 = 218.44/x
  3. Step 3: Cross multiply
    543.08x = 814.54 × 218.44
  4. Step 4: Simplify right side
    543.08x = 177,928.12
  5. Step 5: Solve for x
    x = 177,928.12/543.08
  6. Step 6: Final answer
    x = 327.63

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1.5x scale

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.