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Finding the Fourth Proportional to 580.74, 800.94 and 423.38

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Solution

The fourth proportional to 580.74, 800.94 and 423.38 is: 583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 800.94 = 423.38 : x
  2. Step 2: Convert to fraction form
    580.74/800.94 = 423.38/x
  3. Step 3: Cross multiply
    580.74x = 800.94 × 423.38
  4. Step 4: Simplify right side
    580.74x = 339,101.98
  5. Step 5: Solve for x
    x = 339,101.98/580.74
  6. Step 6: Final answer
    x = 583.91

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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.