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Finding the Fourth Proportional to 548.64, 823.23 and 375.57

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Solution

The fourth proportional to 548.64, 823.23 and 375.57 is: 563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.64 : 823.23 = 375.57 : x
  2. Step 2: Convert to fraction form
    548.64/823.23 = 375.57/x
  3. Step 3: Cross multiply
    548.64x = 823.23 × 375.57
  4. Step 4: Simplify right side
    548.64x = 309,180.49
  5. Step 5: Solve for x
    x = 309,180.49/548.64
  6. Step 6: Final answer
    x = 563.54

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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.