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Finding the Fourth Proportional to 314.25, 433.62 and 221.28

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Solution

The fourth proportional to 314.25, 433.62 and 221.28 is: 305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 433.62 = 221.28 : x
  2. Step 2: Convert to fraction form
    314.25/433.62 = 221.28/x
  3. Step 3: Cross multiply
    314.25x = 433.62 × 221.28
  4. Step 4: Simplify right side
    314.25x = 95,951.43
  5. Step 5: Solve for x
    x = 95,951.43/314.25
  6. Step 6: Final answer
    x = 305.33

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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.