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Finding the Fourth Proportional to 512.03, 706.62 and 290.97

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Solution

The fourth proportional to 512.03, 706.62 and 290.97 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.03 : 706.62 = 290.97 : x
  2. Step 2: Convert to fraction form
    512.03/706.62 = 290.97/x
  3. Step 3: Cross multiply
    512.03x = 706.62 × 290.97
  4. Step 4: Simplify right side
    512.03x = 205,605.22
  5. Step 5: Solve for x
    x = 205,605.22/512.03
  6. Step 6: Final answer
    x = 401.55

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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.