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Finding the Fourth Proportional to 576.20, 794.43 and 389.57

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Solution

The fourth proportional to 576.20, 794.43 and 389.57 is: 537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.20 : 794.43 = 389.57 : x
  2. Step 2: Convert to fraction form
    576.20/794.43 = 389.57/x
  3. Step 3: Cross multiply
    576.20x = 794.43 × 389.57
  4. Step 4: Simplify right side
    576.20x = 309,482.12
  5. Step 5: Solve for x
    x = 309,482.12/576.20
  6. Step 6: Final answer
    x = 537.11

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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.