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Finding the Fourth Proportional to 516.48, 775.26 and 389.04

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Solution

The fourth proportional to 516.48, 775.26 and 389.04 is: 583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.48 : 775.26 = 389.04 : x
  2. Step 2: Convert to fraction form
    516.48/775.26 = 389.04/x
  3. Step 3: Cross multiply
    516.48x = 775.26 × 389.04
  4. Step 4: Simplify right side
    516.48x = 301,607.15
  5. Step 5: Solve for x
    x = 301,607.15/516.48
  6. Step 6: Final answer
    x = 583.97

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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.