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Finding the Fourth Proportional to 543.94, 816.27 and 201.94

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Solution

The fourth proportional to 543.94, 816.27 and 201.94 is: 303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.94 : 816.27 = 201.94 : x
  2. Step 2: Convert to fraction form
    543.94/816.27 = 201.94/x
  3. Step 3: Cross multiply
    543.94x = 816.27 × 201.94
  4. Step 4: Simplify right side
    543.94x = 164,835.52
  5. Step 5: Solve for x
    x = 164,835.52/543.94
  6. Step 6: Final answer
    x = 303.04

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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.