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Finding the Fourth Proportional to 548.40, 822.74 and 240.18

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Solution

The fourth proportional to 548.40, 822.74 and 240.18 is: 360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 822.74 = 240.18 : x
  2. Step 2: Convert to fraction form
    548.40/822.74 = 240.18/x
  3. Step 3: Cross multiply
    548.40x = 822.74 × 240.18
  4. Step 4: Simplify right side
    548.40x = 197,605.69
  5. Step 5: Solve for x
    x = 197,605.69/548.40
  6. Step 6: Final answer
    x = 360.33

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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.