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Finding the Fourth Proportional to 463.36, 694.64 and 174.80

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Solution

The fourth proportional to 463.36, 694.64 and 174.80 is: 262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.36 : 694.64 = 174.80 : x
  2. Step 2: Convert to fraction form
    463.36/694.64 = 174.80/x
  3. Step 3: Cross multiply
    463.36x = 694.64 × 174.80
  4. Step 4: Simplify right side
    463.36x = 121,423.07
  5. Step 5: Solve for x
    x = 121,423.07/463.36
  6. Step 6: Final answer
    x = 262.05

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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.