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Finding the Fourth Proportional to 511.20, 705.42 and 301.37

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Solution

The fourth proportional to 511.20, 705.42 and 301.37 is: 415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.20 : 705.42 = 301.37 : x
  2. Step 2: Convert to fraction form
    511.20/705.42 = 301.37/x
  3. Step 3: Cross multiply
    511.20x = 705.42 × 301.37
  4. Step 4: Simplify right side
    511.20x = 212,588.90
  5. Step 5: Solve for x
    x = 212,588.90/511.20
  6. Step 6: Final answer
    x = 415.86

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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.