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Finding the Fourth Proportional to 434.60, 654.26 and 396.32

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Solution

The fourth proportional to 434.60, 654.26 and 396.32 is: 596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.60 : 654.26 = 396.32 : x
  2. Step 2: Convert to fraction form
    434.60/654.26 = 396.32/x
  3. Step 3: Cross multiply
    434.60x = 654.26 × 396.32
  4. Step 4: Simplify right side
    434.60x = 259,296.32
  5. Step 5: Solve for x
    x = 259,296.32/434.60
  6. Step 6: Final answer
    x = 596.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.