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Finding the Fourth Proportional to 511.72, 706.12 and 299.09

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Solution

The fourth proportional to 511.72, 706.12 and 299.09 is: 412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.72 : 706.12 = 299.09 : x
  2. Step 2: Convert to fraction form
    511.72/706.12 = 299.09/x
  3. Step 3: Cross multiply
    511.72x = 706.12 × 299.09
  4. Step 4: Simplify right side
    511.72x = 211,194.45
  5. Step 5: Solve for x
    x = 211,194.45/511.72
  6. Step 6: Final answer
    x = 412.72

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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.