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Finding the Fourth Proportional to 511.97, 706.35 and 299.28

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Solution

The fourth proportional to 511.97, 706.35 and 299.28 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.97 : 706.35 = 299.28 : x
  2. Step 2: Convert to fraction form
    511.97/706.35 = 299.28/x
  3. Step 3: Cross multiply
    511.97x = 706.35 × 299.28
  4. Step 4: Simplify right side
    511.97x = 211,396.43
  5. Step 5: Solve for x
    x = 211,396.43/511.97
  6. Step 6: Final answer
    x = 412.91

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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.