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Finding the Fourth Proportional to 457.26, 684.27 and 335.22

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Solution

The fourth proportional to 457.26, 684.27 and 335.22 is: 501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.26 : 684.27 = 335.22 : x
  2. Step 2: Convert to fraction form
    457.26/684.27 = 335.22/x
  3. Step 3: Cross multiply
    457.26x = 684.27 × 335.22
  4. Step 4: Simplify right side
    457.26x = 229,380.99
  5. Step 5: Solve for x
    x = 229,380.99/457.26
  6. Step 6: Final answer
    x = 501.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.