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Finding the Fourth Proportional to 495.74, 684.43 and 338.63

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Solution

The fourth proportional to 495.74, 684.43 and 338.63 is: 467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.74 : 684.43 = 338.63 : x
  2. Step 2: Convert to fraction form
    495.74/684.43 = 338.63/x
  3. Step 3: Cross multiply
    495.74x = 684.43 × 338.63
  4. Step 4: Simplify right side
    495.74x = 231,770.02
  5. Step 5: Solve for x
    x = 231,770.02/495.74
  6. Step 6: Final answer
    x = 467.53

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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.