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Finding the Fourth Proportional to 576.74, 865.23 and 211.53

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Solution

The fourth proportional to 576.74, 865.23 and 211.53 is: 317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.74 : 865.23 = 211.53 : x
  2. Step 2: Convert to fraction form
    576.74/865.23 = 211.53/x
  3. Step 3: Cross multiply
    576.74x = 865.23 × 211.53
  4. Step 4: Simplify right side
    576.74x = 183,022.10
  5. Step 5: Solve for x
    x = 183,022.10/576.74
  6. Step 6: Final answer
    x = 317.34

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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.