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Finding the Fourth Proportional to 350.43, 525.77 and 211.77

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Solution

The fourth proportional to 350.43, 525.77 and 211.77 is: 317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.43 : 525.77 = 211.77 : x
  2. Step 2: Convert to fraction form
    350.43/525.77 = 211.77/x
  3. Step 3: Cross multiply
    350.43x = 525.77 × 211.77
  4. Step 4: Simplify right side
    350.43x = 111,341.25
  5. Step 5: Solve for x
    x = 111,341.25/350.43
  6. Step 6: Final answer
    x = 317.73

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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.