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Finding the Fourth Proportional to 690.68, 952.84 and 441.56

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Solution

The fourth proportional to 690.68, 952.84 and 441.56 is: 609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.68 : 952.84 = 441.56 : x
  2. Step 2: Convert to fraction form
    690.68/952.84 = 441.56/x
  3. Step 3: Cross multiply
    690.68x = 952.84 × 441.56
  4. Step 4: Simplify right side
    690.68x = 420,736.03
  5. Step 5: Solve for x
    x = 420,736.03/690.68
  6. Step 6: Final answer
    x = 609.16

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1.5x scale

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.