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Finding the Fourth Proportional to 349.83, 525.43 and 220.06

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Solution

The fourth proportional to 349.83, 525.43 and 220.06 is: 330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.83 : 525.43 = 220.06 : x
  2. Step 2: Convert to fraction form
    349.83/525.43 = 220.06/x
  3. Step 3: Cross multiply
    349.83x = 525.43 × 220.06
  4. Step 4: Simplify right side
    349.83x = 115,625.09
  5. Step 5: Solve for x
    x = 115,625.09/349.83
  6. Step 6: Final answer
    x = 330.52

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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.