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Finding the Fourth Proportional to 505, 759.33 and 464.89

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Solution

The fourth proportional to 505, 759.33 and 464.89 is: 699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505 : 759.33 = 464.89 : x
  2. Step 2: Convert to fraction form
    505/759.33 = 464.89/x
  3. Step 3: Cross multiply
    505x = 759.33 × 464.89
  4. Step 4: Simplify right side
    505x = 353,004.92
  5. Step 5: Solve for x
    x = 353,004.92/505
  6. Step 6: Final answer
    x = 699.02

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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.