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Finding the Fourth Proportional to 457.80, 686.16 and 214.53

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Solution

The fourth proportional to 457.80, 686.16 and 214.53 is: 321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.80 : 686.16 = 214.53 : x
  2. Step 2: Convert to fraction form
    457.80/686.16 = 214.53/x
  3. Step 3: Cross multiply
    457.80x = 686.16 × 214.53
  4. Step 4: Simplify right side
    457.80x = 147,201.90
  5. Step 5: Solve for x
    x = 147,201.90/457.80
  6. Step 6: Final answer
    x = 321.54

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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.