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Finding the Fourth Proportional to 690.74, 952.82 and 441.59

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Solution

The fourth proportional to 690.74, 952.82 and 441.59 is: 609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.74 : 952.82 = 441.59 : x
  2. Step 2: Convert to fraction form
    690.74/952.82 = 441.59/x
  3. Step 3: Cross multiply
    690.74x = 952.82 × 441.59
  4. Step 4: Simplify right side
    690.74x = 420,755.96
  5. Step 5: Solve for x
    x = 420,755.96/690.74
  6. Step 6: Final answer
    x = 609.14

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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.