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Finding the Fourth Proportional to 457.56, 686 and 213.94

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Solution

The fourth proportional to 457.56, 686 and 213.94 is: 320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.56 : 686 = 213.94 : x
  2. Step 2: Convert to fraction form
    457.56/686 = 213.94/x
  3. Step 3: Cross multiply
    457.56x = 686 × 213.94
  4. Step 4: Simplify right side
    457.56x = 146,762.84
  5. Step 5: Solve for x
    x = 146,762.84/457.56
  6. Step 6: Final answer
    x = 320.75

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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.