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Finding the Fourth Proportional to 689.98, 952.10 and 379.48

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Solution

The fourth proportional to 689.98, 952.10 and 379.48 is: 523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.98 : 952.10 = 379.48 : x
  2. Step 2: Convert to fraction form
    689.98/952.10 = 379.48/x
  3. Step 3: Cross multiply
    689.98x = 952.10 × 379.48
  4. Step 4: Simplify right side
    689.98x = 361,302.91
  5. Step 5: Solve for x
    x = 361,302.91/689.98
  6. Step 6: Final answer
    x = 523.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.