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Finding the Fourth Proportional to 353.88, 488.30 and 214.02

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Solution

The fourth proportional to 353.88, 488.30 and 214.02 is: 295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.88 : 488.30 = 214.02 : x
  2. Step 2: Convert to fraction form
    353.88/488.30 = 214.02/x
  3. Step 3: Cross multiply
    353.88x = 488.30 × 214.02
  4. Step 4: Simplify right side
    353.88x = 104,504.90
  5. Step 5: Solve for x
    x = 104,504.90/353.88
  6. Step 6: Final answer
    x = 295.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.