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Finding the Fourth Proportional to 468.20, 701.84 and 175.62

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Solution

The fourth proportional to 468.20, 701.84 and 175.62 is: 263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.20 : 701.84 = 175.62 : x
  2. Step 2: Convert to fraction form
    468.20/701.84 = 175.62/x
  3. Step 3: Cross multiply
    468.20x = 701.84 × 175.62
  4. Step 4: Simplify right side
    468.20x = 123,257.14
  5. Step 5: Solve for x
    x = 123,257.14/468.20
  6. Step 6: Final answer
    x = 263.26

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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.