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Finding the Fourth Proportional to 553.62, 830.43 and 541.47

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Solution

The fourth proportional to 553.62, 830.43 and 541.47 is: 812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.62 : 830.43 = 541.47 : x
  2. Step 2: Convert to fraction form
    553.62/830.43 = 541.47/x
  3. Step 3: Cross multiply
    553.62x = 830.43 × 541.47
  4. Step 4: Simplify right side
    553.62x = 449,652.93
  5. Step 5: Solve for x
    x = 449,652.93/553.62
  6. Step 6: Final answer
    x = 812.21

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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.