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Finding the Fourth Proportional to 548.70, 823.46 and 260.34

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Solution

The fourth proportional to 548.70, 823.46 and 260.34 is: 390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 823.46 = 260.34 : x
  2. Step 2: Convert to fraction form
    548.70/823.46 = 260.34/x
  3. Step 3: Cross multiply
    548.70x = 823.46 × 260.34
  4. Step 4: Simplify right side
    548.70x = 214,379.58
  5. Step 5: Solve for x
    x = 214,379.58/548.70
  6. Step 6: Final answer
    x = 390.70

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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.