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Finding the Fourth Proportional to 550.47, 825.03 and 428.55

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Solution

The fourth proportional to 550.47, 825.03 and 428.55 is: 642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.47 : 825.03 = 428.55 : x
  2. Step 2: Convert to fraction form
    550.47/825.03 = 428.55/x
  3. Step 3: Cross multiply
    550.47x = 825.03 × 428.55
  4. Step 4: Simplify right side
    550.47x = 353,566.61
  5. Step 5: Solve for x
    x = 353,566.61/550.47
  6. Step 6: Final answer
    x = 642.30

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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.