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Finding the Fourth Proportional to 397.94, 548.34 and 304.68

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Solution

The fourth proportional to 397.94, 548.34 and 304.68 is: 419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.94 : 548.34 = 304.68 : x
  2. Step 2: Convert to fraction form
    397.94/548.34 = 304.68/x
  3. Step 3: Cross multiply
    397.94x = 548.34 × 304.68
  4. Step 4: Simplify right side
    397.94x = 167,068.23
  5. Step 5: Solve for x
    x = 167,068.23/397.94
  6. Step 6: Final answer
    x = 419.84

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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.