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Finding the Fourth Proportional to 511.98, 706.41 and 355.26

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Solution

The fourth proportional to 511.98, 706.41 and 355.26 is: 490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 706.41 = 355.26 : x
  2. Step 2: Convert to fraction form
    511.98/706.41 = 355.26/x
  3. Step 3: Cross multiply
    511.98x = 706.41 × 355.26
  4. Step 4: Simplify right side
    511.98x = 250,959.22
  5. Step 5: Solve for x
    x = 250,959.22/511.98
  6. Step 6: Final answer
    x = 490.17

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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.