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Finding the Fourth Proportional to 588.02, 882.62 and 441.26

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Solution

The fourth proportional to 588.02, 882.62 and 441.26 is: 662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.02 : 882.62 = 441.26 : x
  2. Step 2: Convert to fraction form
    588.02/882.62 = 441.26/x
  3. Step 3: Cross multiply
    588.02x = 882.62 × 441.26
  4. Step 4: Simplify right side
    588.02x = 389,464.90
  5. Step 5: Solve for x
    x = 389,464.90/588.02
  6. Step 6: Final answer
    x = 662.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.