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Finding the Fourth Proportional to 580.70, 800.64 and 423.22

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Solution

The fourth proportional to 580.70, 800.64 and 423.22 is: 583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 800.64 = 423.22 : x
  2. Step 2: Convert to fraction form
    580.70/800.64 = 423.22/x
  3. Step 3: Cross multiply
    580.70x = 800.64 × 423.22
  4. Step 4: Simplify right side
    580.70x = 338,846.86
  5. Step 5: Solve for x
    x = 338,846.86/580.70
  6. Step 6: Final answer
    x = 583.51

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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.