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Finding the Fourth Proportional to 505.97, 759.28 and 332.98

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Solution

The fourth proportional to 505.97, 759.28 and 332.98 is: 499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.97 : 759.28 = 332.98 : x
  2. Step 2: Convert to fraction form
    505.97/759.28 = 332.98/x
  3. Step 3: Cross multiply
    505.97x = 759.28 × 332.98
  4. Step 4: Simplify right side
    505.97x = 252,825.05
  5. Step 5: Solve for x
    x = 252,825.05/505.97
  6. Step 6: Final answer
    x = 499.68

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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.