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Finding the Fourth Proportional to 457.68, 632.12 and 365.43

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Solution

The fourth proportional to 457.68, 632.12 and 365.43 is: 504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.68 : 632.12 = 365.43 : x
  2. Step 2: Convert to fraction form
    457.68/632.12 = 365.43/x
  3. Step 3: Cross multiply
    457.68x = 632.12 × 365.43
  4. Step 4: Simplify right side
    457.68x = 230,993.78
  5. Step 5: Solve for x
    x = 230,993.78/457.68
  6. Step 6: Final answer
    x = 504.71

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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.