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Finding the Fourth Proportional to 467.53, 700.23 and 224.23

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Solution

The fourth proportional to 467.53, 700.23 and 224.23 is: 335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.53 : 700.23 = 224.23 : x
  2. Step 2: Convert to fraction form
    467.53/700.23 = 224.23/x
  3. Step 3: Cross multiply
    467.53x = 700.23 × 224.23
  4. Step 4: Simplify right side
    467.53x = 157,012.57
  5. Step 5: Solve for x
    x = 157,012.57/467.53
  6. Step 6: Final answer
    x = 335.83

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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.