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Finding the Fourth Proportional to 690.65, 952.70 and 441.88

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Solution

The fourth proportional to 690.65, 952.70 and 441.88 is: 609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.65 : 952.70 = 441.88 : x
  2. Step 2: Convert to fraction form
    690.65/952.70 = 441.88/x
  3. Step 3: Cross multiply
    690.65x = 952.70 × 441.88
  4. Step 4: Simplify right side
    690.65x = 420,976.87
  5. Step 5: Solve for x
    x = 420,976.87/690.65
  6. Step 6: Final answer
    x = 609.54

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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.