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Finding the Fourth Proportional to 457.86, 686.82 and 214.46

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Solution

The fourth proportional to 457.86, 686.82 and 214.46 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.86 : 686.82 = 214.46 : x
  2. Step 2: Convert to fraction form
    457.86/686.82 = 214.46/x
  3. Step 3: Cross multiply
    457.86x = 686.82 × 214.46
  4. Step 4: Simplify right side
    457.86x = 147,291.98
  5. Step 5: Solve for x
    x = 147,291.98/457.86
  6. Step 6: Final answer
    x = 321.70

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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.