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Finding the Fourth Proportional to 392.63, 589.29 and 205.15

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Solution

The fourth proportional to 392.63, 589.29 and 205.15 is: 307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 589.29 = 205.15 : x
  2. Step 2: Convert to fraction form
    392.63/589.29 = 205.15/x
  3. Step 3: Cross multiply
    392.63x = 589.29 × 205.15
  4. Step 4: Simplify right side
    392.63x = 120,892.86
  5. Step 5: Solve for x
    x = 120,892.86/392.63
  6. Step 6: Final answer
    x = 307.90

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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.