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Finding the Fourth Proportional to 548.74, 823.30 and 343.07

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Solution

The fourth proportional to 548.74, 823.30 and 343.07 is: 514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.74 : 823.30 = 343.07 : x
  2. Step 2: Convert to fraction form
    548.74/823.30 = 343.07/x
  3. Step 3: Cross multiply
    548.74x = 823.30 × 343.07
  4. Step 4: Simplify right side
    548.74x = 282,447.64
  5. Step 5: Solve for x
    x = 282,447.64/548.74
  6. Step 6: Final answer
    x = 514.72

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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.