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Finding the Fourth Proportional to 389.79, 534.42 and 382.86

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Solution

The fourth proportional to 389.79, 534.42 and 382.86 is: 524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.79 : 534.42 = 382.86 : x
  2. Step 2: Convert to fraction form
    389.79/534.42 = 382.86/x
  3. Step 3: Cross multiply
    389.79x = 534.42 × 382.86
  4. Step 4: Simplify right side
    389.79x = 204,608.04
  5. Step 5: Solve for x
    x = 204,608.04/389.79
  6. Step 6: Final answer
    x = 524.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.