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Finding the Fourth Proportional to 511.26, 705.62 and 287.24

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Solution

The fourth proportional to 511.26, 705.62 and 287.24 is: 396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.26 : 705.62 = 287.24 : x
  2. Step 2: Convert to fraction form
    511.26/705.62 = 287.24/x
  3. Step 3: Cross multiply
    511.26x = 705.62 × 287.24
  4. Step 4: Simplify right side
    511.26x = 202,682.29
  5. Step 5: Solve for x
    x = 202,682.29/511.26
  6. Step 6: Final answer
    x = 396.44

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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.