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Finding the Fourth Proportional to 463.88, 696.24 and 247.64

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Solution

The fourth proportional to 463.88, 696.24 and 247.64 is: 371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.88 : 696.24 = 247.64 : x
  2. Step 2: Convert to fraction form
    463.88/696.24 = 247.64/x
  3. Step 3: Cross multiply
    463.88x = 696.24 × 247.64
  4. Step 4: Simplify right side
    463.88x = 172,416.87
  5. Step 5: Solve for x
    x = 172,416.87/463.88
  6. Step 6: Final answer
    x = 371.68

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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.