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Finding the Fourth Proportional to 457.39, 685.22 and 302.86

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Solution

The fourth proportional to 457.39, 685.22 and 302.86 is: 453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.39 : 685.22 = 302.86 : x
  2. Step 2: Convert to fraction form
    457.39/685.22 = 302.86/x
  3. Step 3: Cross multiply
    457.39x = 685.22 × 302.86
  4. Step 4: Simplify right side
    457.39x = 207,525.73
  5. Step 5: Solve for x
    x = 207,525.73/457.39
  6. Step 6: Final answer
    x = 453.72

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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.