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Finding the Fourth Proportional to 456.23, 683.86 and 224.66

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Solution

The fourth proportional to 456.23, 683.86 and 224.66 is: 336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 683.86 = 224.66 : x
  2. Step 2: Convert to fraction form
    456.23/683.86 = 224.66/x
  3. Step 3: Cross multiply
    456.23x = 683.86 × 224.66
  4. Step 4: Simplify right side
    456.23x = 153,635.65
  5. Step 5: Solve for x
    x = 153,635.65/456.23
  6. Step 6: Final answer
    x = 336.75

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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.