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Finding the Fourth Proportional to 580.26, 800.48 and 422.65

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Solution

The fourth proportional to 580.26, 800.48 and 422.65 is: 583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.26 : 800.48 = 422.65 : x
  2. Step 2: Convert to fraction form
    580.26/800.48 = 422.65/x
  3. Step 3: Cross multiply
    580.26x = 800.48 × 422.65
  4. Step 4: Simplify right side
    580.26x = 338,318.76
  5. Step 5: Solve for x
    x = 338,318.76/580.26
  6. Step 6: Final answer
    x = 583.05

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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.