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Finding the Fourth Proportional to 511.39, 705.68 and 290.30

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Solution

The fourth proportional to 511.39, 705.68 and 290.30 is: 400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.39 : 705.68 = 290.30 : x
  2. Step 2: Convert to fraction form
    511.39/705.68 = 290.30/x
  3. Step 3: Cross multiply
    511.39x = 705.68 × 290.30
  4. Step 4: Simplify right side
    511.39x = 204,858.90
  5. Step 5: Solve for x
    x = 204,858.90/511.39
  6. Step 6: Final answer
    x = 400.59

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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.