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Finding the Fourth Proportional to 432.86, 597.34 and 236.37

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Solution

The fourth proportional to 432.86, 597.34 and 236.37 is: 326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.86 : 597.34 = 236.37 : x
  2. Step 2: Convert to fraction form
    432.86/597.34 = 236.37/x
  3. Step 3: Cross multiply
    432.86x = 597.34 × 236.37
  4. Step 4: Simplify right side
    432.86x = 141,191.76
  5. Step 5: Solve for x
    x = 141,191.76/432.86
  6. Step 6: Final answer
    x = 326.19

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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.