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Finding the Fourth Proportional to 471.50, 706.13 and 276.09

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Solution

The fourth proportional to 471.50, 706.13 and 276.09 is: 413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.50 : 706.13 = 276.09 : x
  2. Step 2: Convert to fraction form
    471.50/706.13 = 276.09/x
  3. Step 3: Cross multiply
    471.50x = 706.13 × 276.09
  4. Step 4: Simplify right side
    471.50x = 194,955.43
  5. Step 5: Solve for x
    x = 194,955.43/471.50
  6. Step 6: Final answer
    x = 413.48

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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.