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Finding the Fourth Proportional to 580.20, 800.69 and 359.17

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Solution

The fourth proportional to 580.20, 800.69 and 359.17 is: 495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.20 : 800.69 = 359.17 : x
  2. Step 2: Convert to fraction form
    580.20/800.69 = 359.17/x
  3. Step 3: Cross multiply
    580.20x = 800.69 × 359.17
  4. Step 4: Simplify right side
    580.20x = 287,580.03
  5. Step 5: Solve for x
    x = 287,580.03/580.20
  6. Step 6: Final answer
    x = 495.66

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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.