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Finding the Fourth Proportional to 576.11, 794.90 and 340.09

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Solution

The fourth proportional to 576.11, 794.90 and 340.09 is: 469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.11 : 794.90 = 340.09 : x
  2. Step 2: Convert to fraction form
    576.11/794.90 = 340.09/x
  3. Step 3: Cross multiply
    576.11x = 794.90 × 340.09
  4. Step 4: Simplify right side
    576.11x = 270,336.40
  5. Step 5: Solve for x
    x = 270,336.40/576.11
  6. Step 6: Final answer
    x = 469.24

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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.