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Finding the Fourth Proportional to 463.08, 694.68 and 174.60

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Solution

The fourth proportional to 463.08, 694.68 and 174.60 is: 261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.08 : 694.68 = 174.60 : x
  2. Step 2: Convert to fraction form
    463.08/694.68 = 174.60/x
  3. Step 3: Cross multiply
    463.08x = 694.68 × 174.60
  4. Step 4: Simplify right side
    463.08x = 121,291.13
  5. Step 5: Solve for x
    x = 121,291.13/463.08
  6. Step 6: Final answer
    x = 261.92

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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.