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Finding the Fourth Proportional to 350.35, 524.75 and 234.25

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Solution

The fourth proportional to 350.35, 524.75 and 234.25 is: 350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.35 : 524.75 = 234.25 : x
  2. Step 2: Convert to fraction form
    350.35/524.75 = 234.25/x
  3. Step 3: Cross multiply
    350.35x = 524.75 × 234.25
  4. Step 4: Simplify right side
    350.35x = 122,918.89
  5. Step 5: Solve for x
    x = 122,918.89/350.35
  6. Step 6: Final answer
    x = 350.85

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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.