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Finding the Fourth Proportional to 432.41, 596.71 and 235.91

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Solution

The fourth proportional to 432.41, 596.71 and 235.91 is: 325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.41 : 596.71 = 235.91 : x
  2. Step 2: Convert to fraction form
    432.41/596.71 = 235.91/x
  3. Step 3: Cross multiply
    432.41x = 596.71 × 235.91
  4. Step 4: Simplify right side
    432.41x = 140,770.76
  5. Step 5: Solve for x
    x = 140,770.76/432.41
  6. Step 6: Final answer
    x = 325.55

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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.