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Finding the Fourth Proportional to 467.12, 699.96 and 274.52

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Solution

The fourth proportional to 467.12, 699.96 and 274.52 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.12 : 699.96 = 274.52 : x
  2. Step 2: Convert to fraction form
    467.12/699.96 = 274.52/x
  3. Step 3: Cross multiply
    467.12x = 699.96 × 274.52
  4. Step 4: Simplify right side
    467.12x = 192,153.02
  5. Step 5: Solve for x
    x = 192,153.02/467.12
  6. Step 6: Final answer
    x = 411.36

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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.