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Finding the Fourth Proportional to 579.90, 800.10 and 359.04

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Solution

The fourth proportional to 579.90, 800.10 and 359.04 is: 495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.90 : 800.10 = 359.04 : x
  2. Step 2: Convert to fraction form
    579.90/800.10 = 359.04/x
  3. Step 3: Cross multiply
    579.90x = 800.10 × 359.04
  4. Step 4: Simplify right side
    579.90x = 287,267.90
  5. Step 5: Solve for x
    x = 287,267.90/579.90
  6. Step 6: Final answer
    x = 495.37

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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.