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Finding the Fourth Proportional to 543.96, 814.49 and 370.97

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Solution

The fourth proportional to 543.96, 814.49 and 370.97 is: 555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 814.49 = 370.97 : x
  2. Step 2: Convert to fraction form
    543.96/814.49 = 370.97/x
  3. Step 3: Cross multiply
    543.96x = 814.49 × 370.97
  4. Step 4: Simplify right side
    543.96x = 302,145.43
  5. Step 5: Solve for x
    x = 302,145.43/543.96
  6. Step 6: Final answer
    x = 555.46

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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.