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Finding the Fourth Proportional to 397.89, 548.37 and 292.77

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Solution

The fourth proportional to 397.89, 548.37 and 292.77 is: 403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 548.37 = 292.77 : x
  2. Step 2: Convert to fraction form
    397.89/548.37 = 292.77/x
  3. Step 3: Cross multiply
    397.89x = 548.37 × 292.77
  4. Step 4: Simplify right side
    397.89x = 160,546.28
  5. Step 5: Solve for x
    x = 160,546.28/397.89
  6. Step 6: Final answer
    x = 403.49

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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.