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Finding the Fourth Proportional to 512.08, 706.61 and 290.97

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Solution

The fourth proportional to 512.08, 706.61 and 290.97 is: 401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.08 : 706.61 = 290.97 : x
  2. Step 2: Convert to fraction form
    512.08/706.61 = 290.97/x
  3. Step 3: Cross multiply
    512.08x = 706.61 × 290.97
  4. Step 4: Simplify right side
    512.08x = 205,598.21
  5. Step 5: Solve for x
    x = 205,598.21/512.08
  6. Step 6: Final answer
    x = 401.50

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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.