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Finding the Fourth Proportional to 454.69, 682.32 and 177.28

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Solution

The fourth proportional to 454.69, 682.32 and 177.28 is: 266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.69 : 682.32 = 177.28 : x
  2. Step 2: Convert to fraction form
    454.69/682.32 = 177.28/x
  3. Step 3: Cross multiply
    454.69x = 682.32 × 177.28
  4. Step 4: Simplify right side
    454.69x = 120,961.69
  5. Step 5: Solve for x
    x = 120,961.69/454.69
  6. Step 6: Final answer
    x = 266.03

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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.