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Finding the Fourth Proportional to 553.70, 830.40 and 224.54

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Solution

The fourth proportional to 553.70, 830.40 and 224.54 is: 336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.70 : 830.40 = 224.54 : x
  2. Step 2: Convert to fraction form
    553.70/830.40 = 224.54/x
  3. Step 3: Cross multiply
    553.70x = 830.40 × 224.54
  4. Step 4: Simplify right side
    553.70x = 186,458.02
  5. Step 5: Solve for x
    x = 186,458.02/553.70
  6. Step 6: Final answer
    x = 336.75

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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.