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Finding the Fourth Proportional to 457.20, 631.08 and 326.24

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Solution

The fourth proportional to 457.20, 631.08 and 326.24 is: 450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.20 : 631.08 = 326.24 : x
  2. Step 2: Convert to fraction form
    457.20/631.08 = 326.24/x
  3. Step 3: Cross multiply
    457.20x = 631.08 × 326.24
  4. Step 4: Simplify right side
    457.20x = 205,883.54
  5. Step 5: Solve for x
    x = 205,883.54/457.20
  6. Step 6: Final answer
    x = 450.31

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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.