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Finding the Fourth Proportional to 467.61, 701.41 and 224.08

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Solution

The fourth proportional to 467.61, 701.41 and 224.08 is: 336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.61 : 701.41 = 224.08 : x
  2. Step 2: Convert to fraction form
    467.61/701.41 = 224.08/x
  3. Step 3: Cross multiply
    467.61x = 701.41 × 224.08
  4. Step 4: Simplify right side
    467.61x = 157,171.95
  5. Step 5: Solve for x
    x = 157,171.95/467.61
  6. Step 6: Final answer
    x = 336.12

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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.