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Finding the Fourth Proportional to 548.74, 822.19 and 386.13

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Solution

The fourth proportional to 548.74, 822.19 and 386.13 is: 578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.74 : 822.19 = 386.13 : x
  2. Step 2: Convert to fraction form
    548.74/822.19 = 386.13/x
  3. Step 3: Cross multiply
    548.74x = 822.19 × 386.13
  4. Step 4: Simplify right side
    548.74x = 317,472.22
  5. Step 5: Solve for x
    x = 317,472.22/548.74
  6. Step 6: Final answer
    x = 578.55

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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.