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Finding the Fourth Proportional to 512, 706.59 and 290.96

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Solution

The fourth proportional to 512, 706.59 and 290.96 is: 401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 706.59 = 290.96 : x
  2. Step 2: Convert to fraction form
    512/706.59 = 290.96/x
  3. Step 3: Cross multiply
    512x = 706.59 × 290.96
  4. Step 4: Simplify right side
    512x = 205,589.43
  5. Step 5: Solve for x
    x = 205,589.43/512
  6. Step 6: Final answer
    x = 401.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.