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Finding the Fourth Proportional to 432.78, 597.22 and 236.28

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Solution

The fourth proportional to 432.78, 597.22 and 236.28 is: 326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 597.22 = 236.28 : x
  2. Step 2: Convert to fraction form
    432.78/597.22 = 236.28/x
  3. Step 3: Cross multiply
    432.78x = 597.22 × 236.28
  4. Step 4: Simplify right side
    432.78x = 141,111.14
  5. Step 5: Solve for x
    x = 141,111.14/432.78
  6. Step 6: Final answer
    x = 326.06

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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.