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Finding the Fourth Proportional to 397.54, 548.82 and 355.99

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Solution

The fourth proportional to 397.54, 548.82 and 355.99 is: 491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.54 : 548.82 = 355.99 : x
  2. Step 2: Convert to fraction form
    397.54/548.82 = 355.99/x
  3. Step 3: Cross multiply
    397.54x = 548.82 × 355.99
  4. Step 4: Simplify right side
    397.54x = 195,374.43
  5. Step 5: Solve for x
    x = 195,374.43/397.54
  6. Step 6: Final answer
    x = 491.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.