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Finding the Fourth Proportional to 511.84, 706.13 and 301.94

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Solution

The fourth proportional to 511.84, 706.13 and 301.94 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 706.13 = 301.94 : x
  2. Step 2: Convert to fraction form
    511.84/706.13 = 301.94/x
  3. Step 3: Cross multiply
    511.84x = 706.13 × 301.94
  4. Step 4: Simplify right side
    511.84x = 213,205.36
  5. Step 5: Solve for x
    x = 213,205.36/511.84
  6. Step 6: Final answer
    x = 416.54

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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.