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Finding the Fourth Proportional to 548.87, 823.67 and 288.77

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Solution

The fourth proportional to 548.87, 823.67 and 288.77 is: 433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.87 : 823.67 = 288.77 : x
  2. Step 2: Convert to fraction form
    548.87/823.67 = 288.77/x
  3. Step 3: Cross multiply
    548.87x = 823.67 × 288.77
  4. Step 4: Simplify right side
    548.87x = 237,845.62
  5. Step 5: Solve for x
    x = 237,845.62/548.87
  6. Step 6: Final answer
    x = 433.34

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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.