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Finding the Fourth Proportional to 512.09, 706.85 and 291.20

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Solution

The fourth proportional to 512.09, 706.85 and 291.20 is: 401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.09 : 706.85 = 291.20 : x
  2. Step 2: Convert to fraction form
    512.09/706.85 = 291.20/x
  3. Step 3: Cross multiply
    512.09x = 706.85 × 291.20
  4. Step 4: Simplify right side
    512.09x = 205,829.73
  5. Step 5: Solve for x
    x = 205,829.73/512.09
  6. Step 6: Final answer
    x = 401.94

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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.