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Finding the Fourth Proportional to 580.74, 802.12 and 423.12

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Solution

The fourth proportional to 580.74, 802.12 and 423.12 is: 584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 802.12 = 423.12 : x
  2. Step 2: Convert to fraction form
    580.74/802.12 = 423.12/x
  3. Step 3: Cross multiply
    580.74x = 802.12 × 423.12
  4. Step 4: Simplify right side
    580.74x = 339,393.01
  5. Step 5: Solve for x
    x = 339,393.01/580.74
  6. Step 6: Final answer
    x = 584.41

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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.