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Finding the Fourth Proportional to 457.46, 686.46 and 214

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Solution

The fourth proportional to 457.46, 686.46 and 214 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.46 : 686.46 = 214 : x
  2. Step 2: Convert to fraction form
    457.46/686.46 = 214/x
  3. Step 3: Cross multiply
    457.46x = 686.46 × 214
  4. Step 4: Simplify right side
    457.46x = 146,902.44
  5. Step 5: Solve for x
    x = 146,902.44/457.46
  6. Step 6: Final answer
    x = 321.13

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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.