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Finding the Fourth Proportional to 468.14, 703.36 and 449.94

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Solution

The fourth proportional to 468.14, 703.36 and 449.94 is: 676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 703.36 = 449.94 : x
  2. Step 2: Convert to fraction form
    468.14/703.36 = 449.94/x
  3. Step 3: Cross multiply
    468.14x = 703.36 × 449.94
  4. Step 4: Simplify right side
    468.14x = 316,469.80
  5. Step 5: Solve for x
    x = 316,469.80/468.14
  6. Step 6: Final answer
    x = 676.02

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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.