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Finding the Fourth Proportional to 353.97, 488.49 and 214.07

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Solution

The fourth proportional to 353.97, 488.49 and 214.07 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.97 : 488.49 = 214.07 : x
  2. Step 2: Convert to fraction form
    353.97/488.49 = 214.07/x
  3. Step 3: Cross multiply
    353.97x = 488.49 × 214.07
  4. Step 4: Simplify right side
    353.97x = 104,567.81
  5. Step 5: Solve for x
    x = 104,567.81/353.97
  6. Step 6: Final answer
    x = 295.41

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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.