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Finding the Fourth Proportional to 513.32, 769.56 and 297.08

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Solution

The fourth proportional to 513.32, 769.56 and 297.08 is: 445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.32 : 769.56 = 297.08 : x
  2. Step 2: Convert to fraction form
    513.32/769.56 = 297.08/x
  3. Step 3: Cross multiply
    513.32x = 769.56 × 297.08
  4. Step 4: Simplify right side
    513.32x = 228,620.88
  5. Step 5: Solve for x
    x = 228,620.88/513.32
  6. Step 6: Final answer
    x = 445.38

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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.