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Finding the Fourth Proportional to 457.16, 685.53 and 213.75

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Solution

The fourth proportional to 457.16, 685.53 and 213.75 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.16 : 685.53 = 213.75 : x
  2. Step 2: Convert to fraction form
    457.16/685.53 = 213.75/x
  3. Step 3: Cross multiply
    457.16x = 685.53 × 213.75
  4. Step 4: Simplify right side
    457.16x = 146,532.04
  5. Step 5: Solve for x
    x = 146,532.04/457.16
  6. Step 6: Final answer
    x = 320.53

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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.