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Finding the Fourth Proportional to 511.80, 706.13 and 299.07

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Solution

The fourth proportional to 511.80, 706.13 and 299.07 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 706.13 = 299.07 : x
  2. Step 2: Convert to fraction form
    511.80/706.13 = 299.07/x
  3. Step 3: Cross multiply
    511.80x = 706.13 × 299.07
  4. Step 4: Simplify right side
    511.80x = 211,180.80
  5. Step 5: Solve for x
    x = 211,180.80/511.80
  6. Step 6: Final answer
    x = 412.62

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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.