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Finding the Fourth Proportional to 456.22, 683.72 and 261.28

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Solution

The fourth proportional to 456.22, 683.72 and 261.28 is: 391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 683.72 = 261.28 : x
  2. Step 2: Convert to fraction form
    456.22/683.72 = 261.28/x
  3. Step 3: Cross multiply
    456.22x = 683.72 × 261.28
  4. Step 4: Simplify right side
    456.22x = 178,644.36
  5. Step 5: Solve for x
    x = 178,644.36/456.22
  6. Step 6: Final answer
    x = 391.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.