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Finding the Fourth Proportional to 548.60, 821.42 and 342.76

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Solution

The fourth proportional to 548.60, 821.42 and 342.76 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.60 : 821.42 = 342.76 : x
  2. Step 2: Convert to fraction form
    548.60/821.42 = 342.76/x
  3. Step 3: Cross multiply
    548.60x = 821.42 × 342.76
  4. Step 4: Simplify right side
    548.60x = 281,549.92
  5. Step 5: Solve for x
    x = 281,549.92/548.60
  6. Step 6: Final answer
    x = 513.22

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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.