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Finding the Fourth Proportional to 455.92, 684.18 and 212.46

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Solution

The fourth proportional to 455.92, 684.18 and 212.46 is: 318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.92 : 684.18 = 212.46 : x
  2. Step 2: Convert to fraction form
    455.92/684.18 = 212.46/x
  3. Step 3: Cross multiply
    455.92x = 684.18 × 212.46
  4. Step 4: Simplify right side
    455.92x = 145,360.88
  5. Step 5: Solve for x
    x = 145,360.88/455.92
  6. Step 6: Final answer
    x = 318.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.