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Finding the Fourth Proportional to 455.31, 683.18 and 212

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Solution

The fourth proportional to 455.31, 683.18 and 212 is: 318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.31 : 683.18 = 212 : x
  2. Step 2: Convert to fraction form
    455.31/683.18 = 212/x
  3. Step 3: Cross multiply
    455.31x = 683.18 × 212
  4. Step 4: Simplify right side
    455.31x = 144,834.16
  5. Step 5: Solve for x
    x = 144,834.16/455.31
  6. Step 6: Final answer
    x = 318.10

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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.