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Finding the Fourth Proportional to 525.58, 789.20 and 309.30

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Solution

The fourth proportional to 525.58, 789.20 and 309.30 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.58 : 789.20 = 309.30 : x
  2. Step 2: Convert to fraction form
    525.58/789.20 = 309.30/x
  3. Step 3: Cross multiply
    525.58x = 789.20 × 309.30
  4. Step 4: Simplify right side
    525.58x = 244,099.56
  5. Step 5: Solve for x
    x = 244,099.56/525.58
  6. Step 6: Final answer
    x = 464.44

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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.