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Finding the Fourth Proportional to 398.05, 548.93 and 304.80

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Solution

The fourth proportional to 398.05, 548.93 and 304.80 is: 420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.05 : 548.93 = 304.80 : x
  2. Step 2: Convert to fraction form
    398.05/548.93 = 304.80/x
  3. Step 3: Cross multiply
    398.05x = 548.93 × 304.80
  4. Step 4: Simplify right side
    398.05x = 167,313.86
  5. Step 5: Solve for x
    x = 167,313.86/398.05
  6. Step 6: Final answer
    x = 420.33

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