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Finding the Fourth Proportional to 553.60, 829.87 and 206.85

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Solution

The fourth proportional to 553.60, 829.87 and 206.85 is: 310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.60 : 829.87 = 206.85 : x
  2. Step 2: Convert to fraction form
    553.60/829.87 = 206.85/x
  3. Step 3: Cross multiply
    553.60x = 829.87 × 206.85
  4. Step 4: Simplify right side
    553.60x = 171,658.61
  5. Step 5: Solve for x
    x = 171,658.61/553.60
  6. Step 6: Final answer
    x = 310.08

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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.