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Finding the Fourth Proportional to 467.36, 701.04 and 274.72

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Solution

The fourth proportional to 467.36, 701.04 and 274.72 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.36 : 701.04 = 274.72 : x
  2. Step 2: Convert to fraction form
    467.36/701.04 = 274.72/x
  3. Step 3: Cross multiply
    467.36x = 701.04 × 274.72
  4. Step 4: Simplify right side
    467.36x = 192,589.71
  5. Step 5: Solve for x
    x = 192,589.71/467.36
  6. Step 6: Final answer
    x = 412.08

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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.