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Finding the Fourth Proportional to 580.55, 802.22 and 422.90

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Solution

The fourth proportional to 580.55, 802.22 and 422.90 is: 584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.55 : 802.22 = 422.90 : x
  2. Step 2: Convert to fraction form
    580.55/802.22 = 422.90/x
  3. Step 3: Cross multiply
    580.55x = 802.22 × 422.90
  4. Step 4: Simplify right side
    580.55x = 339,260.23
  5. Step 5: Solve for x
    x = 339,260.23/580.55
  6. Step 6: Final answer
    x = 584.38

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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.