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Finding the Fourth Proportional to 526.32, 789.84 and 252.48

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Solution

The fourth proportional to 526.32, 789.84 and 252.48 is: 378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.32 : 789.84 = 252.48 : x
  2. Step 2: Convert to fraction form
    526.32/789.84 = 252.48/x
  3. Step 3: Cross multiply
    526.32x = 789.84 × 252.48
  4. Step 4: Simplify right side
    526.32x = 199,418.80
  5. Step 5: Solve for x
    x = 199,418.80/526.32
  6. Step 6: Final answer
    x = 378.89

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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.