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Finding the Fourth Proportional to 580.59, 800.97 and 359.40

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Solution

The fourth proportional to 580.59, 800.97 and 359.40 is: 495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.59 : 800.97 = 359.40 : x
  2. Step 2: Convert to fraction form
    580.59/800.97 = 359.40/x
  3. Step 3: Cross multiply
    580.59x = 800.97 × 359.40
  4. Step 4: Simplify right side
    580.59x = 287,868.62
  5. Step 5: Solve for x
    x = 287,868.62/580.59
  6. Step 6: Final answer
    x = 495.82

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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.