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Finding the Fourth Proportional to 543.40, 814.62 and 201

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Solution

The fourth proportional to 543.40, 814.62 and 201 is: 301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.40 : 814.62 = 201 : x
  2. Step 2: Convert to fraction form
    543.40/814.62 = 201/x
  3. Step 3: Cross multiply
    543.40x = 814.62 × 201
  4. Step 4: Simplify right side
    543.40x = 163,738.62
  5. Step 5: Solve for x
    x = 163,738.62/543.40
  6. Step 6: Final answer
    x = 301.32

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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.