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Finding the Fourth Proportional to 468.88, 703.65 and 180.31

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Solution

The fourth proportional to 468.88, 703.65 and 180.31 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 703.65 = 180.31 : x
  2. Step 2: Convert to fraction form
    468.88/703.65 = 180.31/x
  3. Step 3: Cross multiply
    468.88x = 703.65 × 180.31
  4. Step 4: Simplify right side
    468.88x = 126,875.13
  5. Step 5: Solve for x
    x = 126,875.13/468.88
  6. Step 6: Final answer
    x = 270.59

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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.