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Finding the Fourth Proportional to 467.68, 701.64 and 211.12

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Solution

The fourth proportional to 467.68, 701.64 and 211.12 is: 316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.68 : 701.64 = 211.12 : x
  2. Step 2: Convert to fraction form
    467.68/701.64 = 211.12/x
  3. Step 3: Cross multiply
    467.68x = 701.64 × 211.12
  4. Step 4: Simplify right side
    467.68x = 148,130.24
  5. Step 5: Solve for x
    x = 148,130.24/467.68
  6. Step 6: Final answer
    x = 316.73

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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.