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Finding the Fourth Proportional to 525.67, 788.28 and 251.26

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Solution

The fourth proportional to 525.67, 788.28 and 251.26 is: 376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.67 : 788.28 = 251.26 : x
  2. Step 2: Convert to fraction form
    525.67/788.28 = 251.26/x
  3. Step 3: Cross multiply
    525.67x = 788.28 × 251.26
  4. Step 4: Simplify right side
    525.67x = 198,063.23
  5. Step 5: Solve for x
    x = 198,063.23/525.67
  6. Step 6: Final answer
    x = 376.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.