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Finding the Fourth Proportional to 455.80, 683.81 and 212.50

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Solution

The fourth proportional to 455.80, 683.81 and 212.50 is: 318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.80 : 683.81 = 212.50 : x
  2. Step 2: Convert to fraction form
    455.80/683.81 = 212.50/x
  3. Step 3: Cross multiply
    455.80x = 683.81 × 212.50
  4. Step 4: Simplify right side
    455.80x = 145,309.63
  5. Step 5: Solve for x
    x = 145,309.63/455.80
  6. Step 6: Final answer
    x = 318.80

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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.