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Finding the Fourth Proportional to 511.24, 705.48 and 287.18

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Solution

The fourth proportional to 511.24, 705.48 and 287.18 is: 396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.24 : 705.48 = 287.18 : x
  2. Step 2: Convert to fraction form
    511.24/705.48 = 287.18/x
  3. Step 3: Cross multiply
    511.24x = 705.48 × 287.18
  4. Step 4: Simplify right side
    511.24x = 202,599.75
  5. Step 5: Solve for x
    x = 202,599.75/511.24
  6. Step 6: Final answer
    x = 396.29

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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.