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Finding the Fourth Proportional to 432.14, 596.38 and 235.66

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Solution

The fourth proportional to 432.14, 596.38 and 235.66 is: 325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.14 : 596.38 = 235.66 : x
  2. Step 2: Convert to fraction form
    432.14/596.38 = 235.66/x
  3. Step 3: Cross multiply
    432.14x = 596.38 × 235.66
  4. Step 4: Simplify right side
    432.14x = 140,539.34
  5. Step 5: Solve for x
    x = 140,539.34/432.14
  6. Step 6: Final answer
    x = 325.22

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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.