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Finding the Fourth Proportional to 495.42, 682.95 and 443.58

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Solution

The fourth proportional to 495.42, 682.95 and 443.58 is: 611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.42 : 682.95 = 443.58 : x
  2. Step 2: Convert to fraction form
    495.42/682.95 = 443.58/x
  3. Step 3: Cross multiply
    495.42x = 682.95 × 443.58
  4. Step 4: Simplify right side
    495.42x = 302,942.96
  5. Step 5: Solve for x
    x = 302,942.96/495.42
  6. Step 6: Final answer
    x = 611.49

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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.