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Finding the Fourth Proportional to 468.82, 703.35 and 180.28

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Solution

The fourth proportional to 468.82, 703.35 and 180.28 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.82 : 703.35 = 180.28 : x
  2. Step 2: Convert to fraction form
    468.82/703.35 = 180.28/x
  3. Step 3: Cross multiply
    468.82x = 703.35 × 180.28
  4. Step 4: Simplify right side
    468.82x = 126,799.94
  5. Step 5: Solve for x
    x = 126,799.94/468.82
  6. Step 6: Final answer
    x = 270.47

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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.