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Finding the Fourth Proportional to 525.82, 788.73 and 201.26

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Solution

The fourth proportional to 525.82, 788.73 and 201.26 is: 301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.82 : 788.73 = 201.26 : x
  2. Step 2: Convert to fraction form
    525.82/788.73 = 201.26/x
  3. Step 3: Cross multiply
    525.82x = 788.73 × 201.26
  4. Step 4: Simplify right side
    525.82x = 158,741.02
  5. Step 5: Solve for x
    x = 158,741.02/525.82
  6. Step 6: Final answer
    x = 301.89

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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.