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Finding the Fourth Proportional to 458.73, 633.24 and 414.27

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Solution

The fourth proportional to 458.73, 633.24 and 414.27 is: 571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.73 : 633.24 = 414.27 : x
  2. Step 2: Convert to fraction form
    458.73/633.24 = 414.27/x
  3. Step 3: Cross multiply
    458.73x = 633.24 × 414.27
  4. Step 4: Simplify right side
    458.73x = 262,332.33
  5. Step 5: Solve for x
    x = 262,332.33/458.73
  6. Step 6: Final answer
    x = 571.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.