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Finding the Fourth Proportional to 513.50, 709.65 and 389.12

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Solution

The fourth proportional to 513.50, 709.65 and 389.12 is: 537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 709.65 = 389.12 : x
  2. Step 2: Convert to fraction form
    513.50/709.65 = 389.12/x
  3. Step 3: Cross multiply
    513.50x = 709.65 × 389.12
  4. Step 4: Simplify right side
    513.50x = 276,135.46
  5. Step 5: Solve for x
    x = 276,135.46/513.50
  6. Step 6: Final answer
    x = 537.76

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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.