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Finding the Fourth Proportional to 463.36, 694.80 and 174.64

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Solution

The fourth proportional to 463.36, 694.80 and 174.64 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.36 : 694.80 = 174.64 : x
  2. Step 2: Convert to fraction form
    463.36/694.80 = 174.64/x
  3. Step 3: Cross multiply
    463.36x = 694.80 × 174.64
  4. Step 4: Simplify right side
    463.36x = 121,339.87
  5. Step 5: Solve for x
    x = 121,339.87/463.36
  6. Step 6: Final answer
    x = 261.87

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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.