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Finding the Fourth Proportional to 580.14, 801.24 and 423.46

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Solution

The fourth proportional to 580.14, 801.24 and 423.46 is: 584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 801.24 = 423.46 : x
  2. Step 2: Convert to fraction form
    580.14/801.24 = 423.46/x
  3. Step 3: Cross multiply
    580.14x = 801.24 × 423.46
  4. Step 4: Simplify right side
    580.14x = 339,293.09
  5. Step 5: Solve for x
    x = 339,293.09/580.14
  6. Step 6: Final answer
    x = 584.85

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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.