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Finding the Fourth Proportional to 548.76, 823.30 and 288.80

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Solution

The fourth proportional to 548.76, 823.30 and 288.80 is: 433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.76 : 823.30 = 288.80 : x
  2. Step 2: Convert to fraction form
    548.76/823.30 = 288.80/x
  3. Step 3: Cross multiply
    548.76x = 823.30 × 288.80
  4. Step 4: Simplify right side
    548.76x = 237,769.04
  5. Step 5: Solve for x
    x = 237,769.04/548.76
  6. Step 6: Final answer
    x = 433.28

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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.