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Finding the Fourth Proportional to 576.09, 795.04 and 340.22

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Solution

The fourth proportional to 576.09, 795.04 and 340.22 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.09 : 795.04 = 340.22 : x
  2. Step 2: Convert to fraction form
    576.09/795.04 = 340.22/x
  3. Step 3: Cross multiply
    576.09x = 795.04 × 340.22
  4. Step 4: Simplify right side
    576.09x = 270,489.65
  5. Step 5: Solve for x
    x = 270,489.65/576.09
  6. Step 6: Final answer
    x = 469.53

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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.