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Finding the Fourth Proportional to 457.42, 632.07 and 326.20

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Solution

The fourth proportional to 457.42, 632.07 and 326.20 is: 450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.42 : 632.07 = 326.20 : x
  2. Step 2: Convert to fraction form
    457.42/632.07 = 326.20/x
  3. Step 3: Cross multiply
    457.42x = 632.07 × 326.20
  4. Step 4: Simplify right side
    457.42x = 206,181.23
  5. Step 5: Solve for x
    x = 206,181.23/457.42
  6. Step 6: Final answer
    x = 450.75

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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.