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Finding the Fourth Proportional to 579.80, 814.15 and 579.80

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Solution

The fourth proportional to 579.80, 814.15 and 579.80 is: 814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.80 : 814.15 = 579.80 : x
  2. Step 2: Convert to fraction form
    579.80/814.15 = 579.80/x
  3. Step 3: Cross multiply
    579.80x = 814.15 × 579.80
  4. Step 4: Simplify right side
    579.80x = 472,044.17
  5. Step 5: Solve for x
    x = 472,044.17/579.80
  6. Step 6: Final answer
    x = 814.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.