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Finding the Fourth Proportional to 398.01, 547.90 and 344.82

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Solution

The fourth proportional to 398.01, 547.90 and 344.82 is: 474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.01 : 547.90 = 344.82 : x
  2. Step 2: Convert to fraction form
    398.01/547.90 = 344.82/x
  3. Step 3: Cross multiply
    398.01x = 547.90 × 344.82
  4. Step 4: Simplify right side
    398.01x = 188,928.07
  5. Step 5: Solve for x
    x = 188,928.07/398.01
  6. Step 6: Final answer
    x = 474.68

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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.