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Finding the Fourth Proportional to 350.85, 525.66 and 342.34

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Solution

The fourth proportional to 350.85, 525.66 and 342.34 is: 512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.85 : 525.66 = 342.34 : x
  2. Step 2: Convert to fraction form
    350.85/525.66 = 342.34/x
  3. Step 3: Cross multiply
    350.85x = 525.66 × 342.34
  4. Step 4: Simplify right side
    350.85x = 179,954.44
  5. Step 5: Solve for x
    x = 179,954.44/350.85
  6. Step 6: Final answer
    x = 512.91

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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.