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Finding the Fourth Proportional to 455.68, 683.88 and 212.08

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Solution

The fourth proportional to 455.68, 683.88 and 212.08 is: 318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.68 : 683.88 = 212.08 : x
  2. Step 2: Convert to fraction form
    455.68/683.88 = 212.08/x
  3. Step 3: Cross multiply
    455.68x = 683.88 × 212.08
  4. Step 4: Simplify right side
    455.68x = 145,037.27
  5. Step 5: Solve for x
    x = 145,037.27/455.68
  6. Step 6: Final answer
    x = 318.29

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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.