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Finding the Fourth Proportional to 597.26, 823.20 and 420.28

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Solution

The fourth proportional to 597.26, 823.20 and 420.28 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.26 : 823.20 = 420.28 : x
  2. Step 2: Convert to fraction form
    597.26/823.20 = 420.28/x
  3. Step 3: Cross multiply
    597.26x = 823.20 × 420.28
  4. Step 4: Simplify right side
    597.26x = 345,974.50
  5. Step 5: Solve for x
    x = 345,974.50/597.26
  6. Step 6: Final answer
    x = 579.27

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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.