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Finding the Fourth Proportional to 349.18, 523.97 and 205

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Solution

The fourth proportional to 349.18, 523.97 and 205 is: 307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.18 : 523.97 = 205 : x
  2. Step 2: Convert to fraction form
    349.18/523.97 = 205/x
  3. Step 3: Cross multiply
    349.18x = 523.97 × 205
  4. Step 4: Simplify right side
    349.18x = 107,413.85
  5. Step 5: Solve for x
    x = 107,413.85/349.18
  6. Step 6: Final answer
    x = 307.62

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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.