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Finding the Fourth Proportional to 457.46, 685.86 and 213.64

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Solution

The fourth proportional to 457.46, 685.86 and 213.64 is: 320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.46 : 685.86 = 213.64 : x
  2. Step 2: Convert to fraction form
    457.46/685.86 = 213.64/x
  3. Step 3: Cross multiply
    457.46x = 685.86 × 213.64
  4. Step 4: Simplify right side
    457.46x = 146,527.13
  5. Step 5: Solve for x
    x = 146,527.13/457.46
  6. Step 6: Final answer
    x = 320.31

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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.