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Finding the Fourth Proportional to 511.40, 704.76 and 422.58

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Solution

The fourth proportional to 511.40, 704.76 and 422.58 is: 582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 704.76 = 422.58 : x
  2. Step 2: Convert to fraction form
    511.40/704.76 = 422.58/x
  3. Step 3: Cross multiply
    511.40x = 704.76 × 422.58
  4. Step 4: Simplify right side
    511.40x = 297,817.48
  5. Step 5: Solve for x
    x = 297,817.48/511.40
  6. Step 6: Final answer
    x = 582.36

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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.