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Finding the Fourth Proportional to 543.24, 814.35 and 196.29

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Solution

The fourth proportional to 543.24, 814.35 and 196.29 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 814.35 = 196.29 : x
  2. Step 2: Convert to fraction form
    543.24/814.35 = 196.29/x
  3. Step 3: Cross multiply
    543.24x = 814.35 × 196.29
  4. Step 4: Simplify right side
    543.24x = 159,848.76
  5. Step 5: Solve for x
    x = 159,848.76/543.24
  6. Step 6: Final answer
    x = 294.25

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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.