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Finding the Fourth Proportional to 505.12, 756.11 and 389.27

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Solution

The fourth proportional to 505.12, 756.11 and 389.27 is: 582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.12 : 756.11 = 389.27 : x
  2. Step 2: Convert to fraction form
    505.12/756.11 = 389.27/x
  3. Step 3: Cross multiply
    505.12x = 756.11 × 389.27
  4. Step 4: Simplify right side
    505.12x = 294,325.21
  5. Step 5: Solve for x
    x = 294,325.21/505.12
  6. Step 6: Final answer
    x = 582.69

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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.