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Finding the Fourth Proportional to 579.57, 798.35 and 431.94

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Solution

The fourth proportional to 579.57, 798.35 and 431.94 is: 594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.57 : 798.35 = 431.94 : x
  2. Step 2: Convert to fraction form
    579.57/798.35 = 431.94/x
  3. Step 3: Cross multiply
    579.57x = 798.35 × 431.94
  4. Step 4: Simplify right side
    579.57x = 344,839.30
  5. Step 5: Solve for x
    x = 344,839.30/579.57
  6. Step 6: Final answer
    x = 594.99

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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.