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Finding the Fourth Proportional to 458.18, 632.44 and 408.97

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Solution

The fourth proportional to 458.18, 632.44 and 408.97 is: 564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.18 : 632.44 = 408.97 : x
  2. Step 2: Convert to fraction form
    458.18/632.44 = 408.97/x
  3. Step 3: Cross multiply
    458.18x = 632.44 × 408.97
  4. Step 4: Simplify right side
    458.18x = 258,648.99
  5. Step 5: Solve for x
    x = 258,648.99/458.18
  6. Step 6: Final answer
    x = 564.51

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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.