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Finding the Fourth Proportional to 553.12, 829.76 and 211.20

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Solution

The fourth proportional to 553.12, 829.76 and 211.20 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.12 : 829.76 = 211.20 : x
  2. Step 2: Convert to fraction form
    553.12/829.76 = 211.20/x
  3. Step 3: Cross multiply
    553.12x = 829.76 × 211.20
  4. Step 4: Simplify right side
    553.12x = 175,245.31
  5. Step 5: Solve for x
    x = 175,245.31/553.12
  6. Step 6: Final answer
    x = 316.83

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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.