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Finding the Fourth Proportional to 548.66, 823.16 and 342.94

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Solution

The fourth proportional to 548.66, 823.16 and 342.94 is: 514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.66 : 823.16 = 342.94 : x
  2. Step 2: Convert to fraction form
    548.66/823.16 = 342.94/x
  3. Step 3: Cross multiply
    548.66x = 823.16 × 342.94
  4. Step 4: Simplify right side
    548.66x = 282,292.78
  5. Step 5: Solve for x
    x = 282,292.78/548.66
  6. Step 6: Final answer
    x = 514.52

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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.