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Finding the Fourth Proportional to 397.43, 548.54 and 304.04

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Solution

The fourth proportional to 397.43, 548.54 and 304.04 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.43 : 548.54 = 304.04 : x
  2. Step 2: Convert to fraction form
    397.43/548.54 = 304.04/x
  3. Step 3: Cross multiply
    397.43x = 548.54 × 304.04
  4. Step 4: Simplify right side
    397.43x = 166,773.84
  5. Step 5: Solve for x
    x = 166,773.84/397.43
  6. Step 6: Final answer
    x = 419.64

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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.