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Finding the Fourth Proportional to 511.68, 706.06 and 301.82

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Solution

The fourth proportional to 511.68, 706.06 and 301.82 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 706.06 = 301.82 : x
  2. Step 2: Convert to fraction form
    511.68/706.06 = 301.82/x
  3. Step 3: Cross multiply
    511.68x = 706.06 × 301.82
  4. Step 4: Simplify right side
    511.68x = 213,103.03
  5. Step 5: Solve for x
    x = 213,103.03/511.68
  6. Step 6: Final answer
    x = 416.48

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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.