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Finding the Fourth Proportional to 314.72, 433.32 and 236.96

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Solution

The fourth proportional to 314.72, 433.32 and 236.96 is: 326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 433.32 = 236.96 : x
  2. Step 2: Convert to fraction form
    314.72/433.32 = 236.96/x
  3. Step 3: Cross multiply
    314.72x = 433.32 × 236.96
  4. Step 4: Simplify right side
    314.72x = 102,679.51
  5. Step 5: Solve for x
    x = 102,679.51/314.72
  6. Step 6: Final answer
    x = 326.26

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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.