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Finding the Fourth Proportional to 457.49, 686.24 and 214.49

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Solution

The fourth proportional to 457.49, 686.24 and 214.49 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.49 : 686.24 = 214.49 : x
  2. Step 2: Convert to fraction form
    457.49/686.24 = 214.49/x
  3. Step 3: Cross multiply
    457.49x = 686.24 × 214.49
  4. Step 4: Simplify right side
    457.49x = 147,191.62
  5. Step 5: Solve for x
    x = 147,191.62/457.49
  6. Step 6: Final answer
    x = 321.74

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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.