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Finding the Fourth Proportional to 576.44, 865.62 and 547.22

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Solution

The fourth proportional to 576.44, 865.62 and 547.22 is: 821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.44 : 865.62 = 547.22 : x
  2. Step 2: Convert to fraction form
    576.44/865.62 = 547.22/x
  3. Step 3: Cross multiply
    576.44x = 865.62 × 547.22
  4. Step 4: Simplify right side
    576.44x = 473,684.58
  5. Step 5: Solve for x
    x = 473,684.58/576.44
  6. Step 6: Final answer
    x = 821.74

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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.