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Finding the Fourth Proportional to 456.57, 685 and 213.26

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Solution

The fourth proportional to 456.57, 685 and 213.26 is: 319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 685 = 213.26 : x
  2. Step 2: Convert to fraction form
    456.57/685 = 213.26/x
  3. Step 3: Cross multiply
    456.57x = 685 × 213.26
  4. Step 4: Simplify right side
    456.57x = 146,083.10
  5. Step 5: Solve for x
    x = 146,083.10/456.57
  6. Step 6: Final answer
    x = 319.96

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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.