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Finding the Fourth Proportional to 553.96, 830.40 and 229.60

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Solution

The fourth proportional to 553.96, 830.40 and 229.60 is: 344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.96 : 830.40 = 229.60 : x
  2. Step 2: Convert to fraction form
    553.96/830.40 = 229.60/x
  3. Step 3: Cross multiply
    553.96x = 830.40 × 229.60
  4. Step 4: Simplify right side
    553.96x = 190,659.84
  5. Step 5: Solve for x
    x = 190,659.84/553.96
  6. Step 6: Final answer
    x = 344.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.