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Finding the Fourth Proportional to 493.92, 677.18 and 485.14

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Solution

The fourth proportional to 493.92, 677.18 and 485.14 is: 665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 677.18 = 485.14 : x
  2. Step 2: Convert to fraction form
    493.92/677.18 = 485.14/x
  3. Step 3: Cross multiply
    493.92x = 677.18 × 485.14
  4. Step 4: Simplify right side
    493.92x = 328,527.11
  5. Step 5: Solve for x
    x = 328,527.11/493.92
  6. Step 6: Final answer
    x = 665.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.