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Finding the Fourth Proportional to 354.06, 488.51 and 214.25

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Solution

The fourth proportional to 354.06, 488.51 and 214.25 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.06 : 488.51 = 214.25 : x
  2. Step 2: Convert to fraction form
    354.06/488.51 = 214.25/x
  3. Step 3: Cross multiply
    354.06x = 488.51 × 214.25
  4. Step 4: Simplify right side
    354.06x = 104,659.75
  5. Step 5: Solve for x
    x = 104,659.75/354.06
  6. Step 6: Final answer
    x = 295.60

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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.