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Finding the Fourth Proportional to 495.23, 682.83 and 439.16

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Solution

The fourth proportional to 495.23, 682.83 and 439.16 is: 605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.23 : 682.83 = 439.16 : x
  2. Step 2: Convert to fraction form
    495.23/682.83 = 439.16/x
  3. Step 3: Cross multiply
    495.23x = 682.83 × 439.16
  4. Step 4: Simplify right side
    495.23x = 299,868.21
  5. Step 5: Solve for x
    x = 299,868.21/495.23
  6. Step 6: Final answer
    x = 605.52

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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.