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Finding the Fourth Proportional to 564.24, 844.20 and 441.12

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Solution

The fourth proportional to 564.24, 844.20 and 441.12 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 844.20 = 441.12 : x
  2. Step 2: Convert to fraction form
    564.24/844.20 = 441.12/x
  3. Step 3: Cross multiply
    564.24x = 844.20 × 441.12
  4. Step 4: Simplify right side
    564.24x = 372,393.50
  5. Step 5: Solve for x
    x = 372,393.50/564.24
  6. Step 6: Final answer
    x = 659.99

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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.