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Finding the Fourth Proportional to 468.92, 703.67 and 238.04

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Solution

The fourth proportional to 468.92, 703.67 and 238.04 is: 357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.92 : 703.67 = 238.04 : x
  2. Step 2: Convert to fraction form
    468.92/703.67 = 238.04/x
  3. Step 3: Cross multiply
    468.92x = 703.67 × 238.04
  4. Step 4: Simplify right side
    468.92x = 167,496.90
  5. Step 5: Solve for x
    x = 167,496.90/468.92
  6. Step 6: Final answer
    x = 357.20

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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.