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Finding the Fourth Proportional to 548.96, 823.92 and 260.96

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Solution

The fourth proportional to 548.96, 823.92 and 260.96 is: 391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.96 : 823.92 = 260.96 : x
  2. Step 2: Convert to fraction form
    548.96/823.92 = 260.96/x
  3. Step 3: Cross multiply
    548.96x = 823.92 × 260.96
  4. Step 4: Simplify right side
    548.96x = 215,010.16
  5. Step 5: Solve for x
    x = 215,010.16/548.96
  6. Step 6: Final answer
    x = 391.67

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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.