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Finding the Fourth Proportional to 513.64, 709.86 and 382.60

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Solution

The fourth proportional to 513.64, 709.86 and 382.60 is: 528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.64 : 709.86 = 382.60 : x
  2. Step 2: Convert to fraction form
    513.64/709.86 = 382.60/x
  3. Step 3: Cross multiply
    513.64x = 709.86 × 382.60
  4. Step 4: Simplify right side
    513.64x = 271,592.44
  5. Step 5: Solve for x
    x = 271,592.44/513.64
  6. Step 6: Final answer
    x = 528.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.