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Finding the Fourth Proportional to 276.35, 413.95 and 233.45

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Solution

The fourth proportional to 276.35, 413.95 and 233.45 is: 349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.35 : 413.95 = 233.45 : x
  2. Step 2: Convert to fraction form
    276.35/413.95 = 233.45/x
  3. Step 3: Cross multiply
    276.35x = 413.95 × 233.45
  4. Step 4: Simplify right side
    276.35x = 96,636.63
  5. Step 5: Solve for x
    x = 96,636.63/276.35
  6. Step 6: Final answer
    x = 349.69

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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.