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Finding the Fourth Proportional to 455.99, 684.39 and 212.59

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Solution

The fourth proportional to 455.99, 684.39 and 212.59 is: 319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.99 : 684.39 = 212.59 : x
  2. Step 2: Convert to fraction form
    455.99/684.39 = 212.59/x
  3. Step 3: Cross multiply
    455.99x = 684.39 × 212.59
  4. Step 4: Simplify right side
    455.99x = 145,491.05
  5. Step 5: Solve for x
    x = 145,491.05/455.99
  6. Step 6: Final answer
    x = 319.07

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