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Finding the Fourth Proportional to 468.93, 703.46 and 180.57

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Solution

The fourth proportional to 468.93, 703.46 and 180.57 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.93 : 703.46 = 180.57 : x
  2. Step 2: Convert to fraction form
    468.93/703.46 = 180.57/x
  3. Step 3: Cross multiply
    468.93x = 703.46 × 180.57
  4. Step 4: Simplify right side
    468.93x = 127,022.87
  5. Step 5: Solve for x
    x = 127,022.87/468.93
  6. Step 6: Final answer
    x = 270.88

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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.