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Finding the Fourth Proportional to 580.24, 865.36 and 494.12

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Solution

The fourth proportional to 580.24, 865.36 and 494.12 is: 736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.24 : 865.36 = 494.12 : x
  2. Step 2: Convert to fraction form
    580.24/865.36 = 494.12/x
  3. Step 3: Cross multiply
    580.24x = 865.36 × 494.12
  4. Step 4: Simplify right side
    580.24x = 427,591.68
  5. Step 5: Solve for x
    x = 427,591.68/580.24
  6. Step 6: Final answer
    x = 736.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.