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Finding the Fourth Proportional to 580.12, 800.51 and 358.99

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Solution

The fourth proportional to 580.12, 800.51 and 358.99 is: 495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.12 : 800.51 = 358.99 : x
  2. Step 2: Convert to fraction form
    580.12/800.51 = 358.99/x
  3. Step 3: Cross multiply
    580.12x = 800.51 × 358.99
  4. Step 4: Simplify right side
    580.12x = 287,371.29
  5. Step 5: Solve for x
    x = 287,371.29/580.12
  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.