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Finding the Fourth Proportional to 290.98, 401.46 and 217.30

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Solution

The fourth proportional to 290.98, 401.46 and 217.30 is: 299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.98 : 401.46 = 217.30 : x
  2. Step 2: Convert to fraction form
    290.98/401.46 = 217.30/x
  3. Step 3: Cross multiply
    290.98x = 401.46 × 217.30
  4. Step 4: Simplify right side
    290.98x = 87,237.26
  5. Step 5: Solve for x
    x = 87,237.26/290.98
  6. Step 6: Final answer
    x = 299.80

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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.