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Finding the Fourth Proportional to 511.18, 705.43 and 284.05

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Solution

The fourth proportional to 511.18, 705.43 and 284.05 is: 391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 705.43 = 284.05 : x
  2. Step 2: Convert to fraction form
    511.18/705.43 = 284.05/x
  3. Step 3: Cross multiply
    511.18x = 705.43 × 284.05
  4. Step 4: Simplify right side
    511.18x = 200,377.39
  5. Step 5: Solve for x
    x = 200,377.39/511.18
  6. Step 6: Final answer
    x = 391.99

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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.