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Finding the Fourth Proportional to 511.46, 705.85 and 287.41

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Solution

The fourth proportional to 511.46, 705.85 and 287.41 is: 396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.46 : 705.85 = 287.41 : x
  2. Step 2: Convert to fraction form
    511.46/705.85 = 287.41/x
  3. Step 3: Cross multiply
    511.46x = 705.85 × 287.41
  4. Step 4: Simplify right side
    511.46x = 202,868.35
  5. Step 5: Solve for x
    x = 202,868.35/511.46
  6. Step 6: Final answer
    x = 396.65

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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.