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Finding the Fourth Proportional to 468.80, 703.52 and 180.24

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Solution

The fourth proportional to 468.80, 703.52 and 180.24 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.80 : 703.52 = 180.24 : x
  2. Step 2: Convert to fraction form
    468.80/703.52 = 180.24/x
  3. Step 3: Cross multiply
    468.80x = 703.52 × 180.24
  4. Step 4: Simplify right side
    468.80x = 126,798.03
  5. Step 5: Solve for x
    x = 126,798.03/468.80
  6. Step 6: Final answer
    x = 270.48

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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.