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Finding the Fourth Proportional to 495.50, 683.64 and 336.27

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Solution

The fourth proportional to 495.50, 683.64 and 336.27 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.50 : 683.64 = 336.27 : x
  2. Step 2: Convert to fraction form
    495.50/683.64 = 336.27/x
  3. Step 3: Cross multiply
    495.50x = 683.64 × 336.27
  4. Step 4: Simplify right side
    495.50x = 229,887.62
  5. Step 5: Solve for x
    x = 229,887.62/495.50
  6. Step 6: Final answer
    x = 463.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.