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Finding the Fourth Proportional to 548.88, 823.76 and 366.64

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Solution

The fourth proportional to 548.88, 823.76 and 366.64 is: 550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 823.76 = 366.64 : x
  2. Step 2: Convert to fraction form
    548.88/823.76 = 366.64/x
  3. Step 3: Cross multiply
    548.88x = 823.76 × 366.64
  4. Step 4: Simplify right side
    548.88x = 302,023.37
  5. Step 5: Solve for x
    x = 302,023.37/548.88
  6. Step 6: Final answer
    x = 550.25

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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.