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Finding the Fourth Proportional to 548.07, 823.70 and 366.73

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Solution

The fourth proportional to 548.07, 823.70 and 366.73 is: 551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.07 : 823.70 = 366.73 : x
  2. Step 2: Convert to fraction form
    548.07/823.70 = 366.73/x
  3. Step 3: Cross multiply
    548.07x = 823.70 × 366.73
  4. Step 4: Simplify right side
    548.07x = 302,075.50
  5. Step 5: Solve for x
    x = 302,075.50/548.07
  6. Step 6: Final answer
    x = 551.16

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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.