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Finding the Fourth Proportional to 579.14, 798.62 and 421.80

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Solution

The fourth proportional to 579.14, 798.62 and 421.80 is: 581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.14 : 798.62 = 421.80 : x
  2. Step 2: Convert to fraction form
    579.14/798.62 = 421.80/x
  3. Step 3: Cross multiply
    579.14x = 798.62 × 421.80
  4. Step 4: Simplify right side
    579.14x = 336,857.92
  5. Step 5: Solve for x
    x = 336,857.92/579.14
  6. Step 6: Final answer
    x = 581.65

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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.