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Finding the Fourth Proportional to 471.81, 706.54 and 276.29

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Solution

The fourth proportional to 471.81, 706.54 and 276.29 is: 413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.81 : 706.54 = 276.29 : x
  2. Step 2: Convert to fraction form
    471.81/706.54 = 276.29/x
  3. Step 3: Cross multiply
    471.81x = 706.54 × 276.29
  4. Step 4: Simplify right side
    471.81x = 195,209.94
  5. Step 5: Solve for x
    x = 195,209.94/471.81
  6. Step 6: Final answer
    x = 413.75

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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.