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Finding the Fourth Proportional to 511.94, 705.69 and 401.22

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Solution

The fourth proportional to 511.94, 705.69 and 401.22 is: 553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.94 : 705.69 = 401.22 : x
  2. Step 2: Convert to fraction form
    511.94/705.69 = 401.22/x
  3. Step 3: Cross multiply
    511.94x = 705.69 × 401.22
  4. Step 4: Simplify right side
    511.94x = 283,136.94
  5. Step 5: Solve for x
    x = 283,136.94/511.94
  6. Step 6: Final answer
    x = 553.06

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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.