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Finding the Fourth Proportional to 511.76, 705 and 422.66

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Solution

The fourth proportional to 511.76, 705 and 422.66 is: 582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.76 : 705 = 422.66 : x
  2. Step 2: Convert to fraction form
    511.76/705 = 422.66/x
  3. Step 3: Cross multiply
    511.76x = 705 × 422.66
  4. Step 4: Simplify right side
    511.76x = 297,975.30
  5. Step 5: Solve for x
    x = 297,975.30/511.76
  6. Step 6: Final answer
    x = 582.26

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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.