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Finding the Fourth Proportional to 457.19, 685.96 and 406.22

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Solution

The fourth proportional to 457.19, 685.96 and 406.22 is: 609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.19 : 685.96 = 406.22 : x
  2. Step 2: Convert to fraction form
    457.19/685.96 = 406.22/x
  3. Step 3: Cross multiply
    457.19x = 685.96 × 406.22
  4. Step 4: Simplify right side
    457.19x = 278,652.37
  5. Step 5: Solve for x
    x = 278,652.37/457.19
  6. Step 6: Final answer
    x = 609.48

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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.