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Finding the Fourth Proportional to 424.44, 586.44 and 408.24

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Solution

The fourth proportional to 424.44, 586.44 and 408.24 is: 564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.44 : 586.44 = 408.24 : x
  2. Step 2: Convert to fraction form
    424.44/586.44 = 408.24/x
  3. Step 3: Cross multiply
    424.44x = 586.44 × 408.24
  4. Step 4: Simplify right side
    424.44x = 239,408.27
  5. Step 5: Solve for x
    x = 239,408.27/424.44
  6. Step 6: Final answer
    x = 564.06

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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.