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Finding the Fourth Proportional to 553.55, 830.32 and 245.23

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Solution

The fourth proportional to 553.55, 830.32 and 245.23 is: 367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.55 : 830.32 = 245.23 : x
  2. Step 2: Convert to fraction form
    553.55/830.32 = 245.23/x
  3. Step 3: Cross multiply
    553.55x = 830.32 × 245.23
  4. Step 4: Simplify right side
    553.55x = 203,616.68
  5. Step 5: Solve for x
    x = 203,616.68/553.55
  6. Step 6: Final answer
    x = 367.84

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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.