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Finding the Fourth Proportional to 690.05, 952.41 and 441.33

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Solution

The fourth proportional to 690.05, 952.41 and 441.33 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.05 : 952.41 = 441.33 : x
  2. Step 2: Convert to fraction form
    690.05/952.41 = 441.33/x
  3. Step 3: Cross multiply
    690.05x = 952.41 × 441.33
  4. Step 4: Simplify right side
    690.05x = 420,327.11
  5. Step 5: Solve for x
    x = 420,327.11/690.05
  6. Step 6: Final answer
    x = 609.13

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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.