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Finding the Fourth Proportional to 398.03, 548.96 and 291.83

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Solution

The fourth proportional to 398.03, 548.96 and 291.83 is: 402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.03 : 548.96 = 291.83 : x
  2. Step 2: Convert to fraction form
    398.03/548.96 = 291.83/x
  3. Step 3: Cross multiply
    398.03x = 548.96 × 291.83
  4. Step 4: Simplify right side
    398.03x = 160,198.79
  5. Step 5: Solve for x
    x = 160,198.79/398.03
  6. Step 6: Final answer
    x = 402.48

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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.