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Finding the Fourth Proportional to 543.24, 814.64 and 196.52

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Solution

The fourth proportional to 543.24, 814.64 and 196.52 is: 294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 814.64 = 196.52 : x
  2. Step 2: Convert to fraction form
    543.24/814.64 = 196.52/x
  3. Step 3: Cross multiply
    543.24x = 814.64 × 196.52
  4. Step 4: Simplify right side
    543.24x = 160,088.00
  5. Step 5: Solve for x
    x = 160,088.00/543.24
  6. Step 6: Final answer
    x = 294.69

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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.