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Finding the Fourth Proportional to 511.80, 706.23 and 301.92

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Solution

The fourth proportional to 511.80, 706.23 and 301.92 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 706.23 = 301.92 : x
  2. Step 2: Convert to fraction form
    511.80/706.23 = 301.92/x
  3. Step 3: Cross multiply
    511.80x = 706.23 × 301.92
  4. Step 4: Simplify right side
    511.80x = 213,224.96
  5. Step 5: Solve for x
    x = 213,224.96/511.80
  6. Step 6: Final answer
    x = 416.62

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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.