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Finding the Fourth Proportional to 354.25, 488.96 and 214.34

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Solution

The fourth proportional to 354.25, 488.96 and 214.34 is: 295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.25 : 488.96 = 214.34 : x
  2. Step 2: Convert to fraction form
    354.25/488.96 = 214.34/x
  3. Step 3: Cross multiply
    354.25x = 488.96 × 214.34
  4. Step 4: Simplify right side
    354.25x = 104,804.64
  5. Step 5: Solve for x
    x = 104,804.64/354.25
  6. Step 6: Final answer
    x = 295.85

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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.