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Finding the Fourth Proportional to 525.82, 788.30 and 265.68

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Solution

The fourth proportional to 525.82, 788.30 and 265.68 is: 398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.82 : 788.30 = 265.68 : x
  2. Step 2: Convert to fraction form
    525.82/788.30 = 265.68/x
  3. Step 3: Cross multiply
    525.82x = 788.30 × 265.68
  4. Step 4: Simplify right side
    525.82x = 209,435.54
  5. Step 5: Solve for x
    x = 209,435.54/525.82
  6. Step 6: Final answer
    x = 398.30

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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.