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Finding the Fourth Proportional to 548.34, 823.05 and 386.34

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Solution

The fourth proportional to 548.34, 823.05 and 386.34 is: 579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.34 : 823.05 = 386.34 : x
  2. Step 2: Convert to fraction form
    548.34/823.05 = 386.34/x
  3. Step 3: Cross multiply
    548.34x = 823.05 × 386.34
  4. Step 4: Simplify right side
    548.34x = 317,977.14
  5. Step 5: Solve for x
    x = 317,977.14/548.34
  6. Step 6: Final answer
    x = 579.89

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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.