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Finding the Fourth Proportional to 543.96, 816.09 and 235.74

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Solution

The fourth proportional to 543.96, 816.09 and 235.74 is: 353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 816.09 = 235.74 : x
  2. Step 2: Convert to fraction form
    543.96/816.09 = 235.74/x
  3. Step 3: Cross multiply
    543.96x = 816.09 × 235.74
  4. Step 4: Simplify right side
    543.96x = 192,385.06
  5. Step 5: Solve for x
    x = 192,385.06/543.96
  6. Step 6: Final answer
    x = 353.68

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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.