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Finding the Fourth Proportional to 397.94, 548.33 and 304.70

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Solution

The fourth proportional to 397.94, 548.33 and 304.70 is: 419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.94 : 548.33 = 304.70 : x
  2. Step 2: Convert to fraction form
    397.94/548.33 = 304.70/x
  3. Step 3: Cross multiply
    397.94x = 548.33 × 304.70
  4. Step 4: Simplify right side
    397.94x = 167,071.89
  5. Step 5: Solve for x
    x = 167,071.89/397.94
  6. Step 6: Final answer
    x = 419.85

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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.