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Finding the Fourth Proportional to 548.60, 822.80 and 342.80

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Solution

The fourth proportional to 548.60, 822.80 and 342.80 is: 514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.60 : 822.80 = 342.80 : x
  2. Step 2: Convert to fraction form
    548.60/822.80 = 342.80/x
  3. Step 3: Cross multiply
    548.60x = 822.80 × 342.80
  4. Step 4: Simplify right side
    548.60x = 282,055.84
  5. Step 5: Solve for x
    x = 282,055.84/548.60
  6. Step 6: Final answer
    x = 514.14

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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.