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Finding the Fourth Proportional to 467.82, 702.14 and 224.42

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Solution

The fourth proportional to 467.82, 702.14 and 224.42 is: 336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.82 : 702.14 = 224.42 : x
  2. Step 2: Convert to fraction form
    467.82/702.14 = 224.42/x
  3. Step 3: Cross multiply
    467.82x = 702.14 × 224.42
  4. Step 4: Simplify right side
    467.82x = 157,574.26
  5. Step 5: Solve for x
    x = 157,574.26/467.82
  6. Step 6: Final answer
    x = 336.83

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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.