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Finding the Fourth Proportional to 511.91, 706.21 and 346.07

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Solution

The fourth proportional to 511.91, 706.21 and 346.07 is: 477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.91 : 706.21 = 346.07 : x
  2. Step 2: Convert to fraction form
    511.91/706.21 = 346.07/x
  3. Step 3: Cross multiply
    511.91x = 706.21 × 346.07
  4. Step 4: Simplify right side
    511.91x = 244,394.56
  5. Step 5: Solve for x
    x = 244,394.56/511.91
  6. Step 6: Final answer
    x = 477.42

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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.