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Finding the Fourth Proportional to 580.14, 801 and 359.19

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Solution

The fourth proportional to 580.14, 801 and 359.19 is: 495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 801 = 359.19 : x
  2. Step 2: Convert to fraction form
    580.14/801 = 359.19/x
  3. Step 3: Cross multiply
    580.14x = 801 × 359.19
  4. Step 4: Simplify right side
    580.14x = 287,711.19
  5. Step 5: Solve for x
    x = 287,711.19/580.14
  6. Step 6: Final answer
    x = 495.93

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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.