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Finding the Fourth Proportional to 543.08, 813.87 and 234.60

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Solution

The fourth proportional to 543.08, 813.87 and 234.60 is: 351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.08 : 813.87 = 234.60 : x
  2. Step 2: Convert to fraction form
    543.08/813.87 = 234.60/x
  3. Step 3: Cross multiply
    543.08x = 813.87 × 234.60
  4. Step 4: Simplify right side
    543.08x = 190,933.90
  5. Step 5: Solve for x
    x = 190,933.90/543.08
  6. Step 6: Final answer
    x = 351.58

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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.