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Finding the Fourth Proportional to 471.67, 708.03 and 276.91

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Solution

The fourth proportional to 471.67, 708.03 and 276.91 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.67 : 708.03 = 276.91 : x
  2. Step 2: Convert to fraction form
    471.67/708.03 = 276.91/x
  3. Step 3: Cross multiply
    471.67x = 708.03 × 276.91
  4. Step 4: Simplify right side
    471.67x = 196,060.59
  5. Step 5: Solve for x
    x = 196,060.59/471.67
  6. Step 6: Final answer
    x = 415.67

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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.