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Finding the Fourth Proportional to 401.63, 554.25 and 217.63

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Solution

The fourth proportional to 401.63, 554.25 and 217.63 is: 300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 554.25 = 217.63 : x
  2. Step 2: Convert to fraction form
    401.63/554.25 = 217.63/x
  3. Step 3: Cross multiply
    401.63x = 554.25 × 217.63
  4. Step 4: Simplify right side
    401.63x = 120,617.57
  5. Step 5: Solve for x
    x = 120,617.57/401.63
  6. Step 6: Final answer
    x = 300.32

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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.