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Finding the Fourth Proportional to 463.34, 694.77 and 174.57

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Solution

The fourth proportional to 463.34, 694.77 and 174.57 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.34 : 694.77 = 174.57 : x
  2. Step 2: Convert to fraction form
    463.34/694.77 = 174.57/x
  3. Step 3: Cross multiply
    463.34x = 694.77 × 174.57
  4. Step 4: Simplify right side
    463.34x = 121,286.00
  5. Step 5: Solve for x
    x = 121,286.00/463.34
  6. Step 6: Final answer
    x = 261.77

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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.