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Finding the Fourth Proportional to 432.26, 596.52 and 235.78

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Solution

The fourth proportional to 432.26, 596.52 and 235.78 is: 325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.26 : 596.52 = 235.78 : x
  2. Step 2: Convert to fraction form
    432.26/596.52 = 235.78/x
  3. Step 3: Cross multiply
    432.26x = 596.52 × 235.78
  4. Step 4: Simplify right side
    432.26x = 140,646.66
  5. Step 5: Solve for x
    x = 140,646.66/432.26
  6. Step 6: Final answer
    x = 325.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.