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Finding the Fourth Proportional to 580.25, 800.42 and 359.06

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Solution

The fourth proportional to 580.25, 800.42 and 359.06 is: 495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.25 : 800.42 = 359.06 : x
  2. Step 2: Convert to fraction form
    580.25/800.42 = 359.06/x
  3. Step 3: Cross multiply
    580.25x = 800.42 × 359.06
  4. Step 4: Simplify right side
    580.25x = 287,393.01
  5. Step 5: Solve for x
    x = 287,393.01/580.25
  6. Step 6: Final answer
    x = 495.30

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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.