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Finding the Fourth Proportional to 432.06, 596.26 and 235.58

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Solution

The fourth proportional to 432.06, 596.26 and 235.58 is: 325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.06 : 596.26 = 235.58 : x
  2. Step 2: Convert to fraction form
    432.06/596.26 = 235.58/x
  3. Step 3: Cross multiply
    432.06x = 596.26 × 235.58
  4. Step 4: Simplify right side
    432.06x = 140,466.93
  5. Step 5: Solve for x
    x = 140,466.93/432.06
  6. Step 6: Final answer
    x = 325.11

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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.