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Finding the Fourth Proportional to 553.62, 830.44 and 443.42

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Solution

The fourth proportional to 553.62, 830.44 and 443.42 is: 665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.62 : 830.44 = 443.42 : x
  2. Step 2: Convert to fraction form
    553.62/830.44 = 443.42/x
  3. Step 3: Cross multiply
    553.62x = 830.44 × 443.42
  4. Step 4: Simplify right side
    553.62x = 368,233.70
  5. Step 5: Solve for x
    x = 368,233.70/553.62
  6. Step 6: Final answer
    x = 665.14

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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.