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Finding the Fourth Proportional to 553.54, 829.10 and 407.55

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Solution

The fourth proportional to 553.54, 829.10 and 407.55 is: 610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.54 : 829.10 = 407.55 : x
  2. Step 2: Convert to fraction form
    553.54/829.10 = 407.55/x
  3. Step 3: Cross multiply
    553.54x = 829.10 × 407.55
  4. Step 4: Simplify right side
    553.54x = 337,899.71
  5. Step 5: Solve for x
    x = 337,899.71/553.54
  6. Step 6: Final answer
    x = 610.43

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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.