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Finding the Fourth Proportional to 525.67, 788.64 and 251.75

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Solution

The fourth proportional to 525.67, 788.64 and 251.75 is: 377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.67 : 788.64 = 251.75 : x
  2. Step 2: Convert to fraction form
    525.67/788.64 = 251.75/x
  3. Step 3: Cross multiply
    525.67x = 788.64 × 251.75
  4. Step 4: Simplify right side
    525.67x = 198,540.12
  5. Step 5: Solve for x
    x = 198,540.12/525.67
  6. Step 6: Final answer
    x = 377.69

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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.