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Finding the Fourth Proportional to 455.52, 683.31 and 212.01

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Solution

The fourth proportional to 455.52, 683.31 and 212.01 is: 318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.52 : 683.31 = 212.01 : x
  2. Step 2: Convert to fraction form
    455.52/683.31 = 212.01/x
  3. Step 3: Cross multiply
    455.52x = 683.31 × 212.01
  4. Step 4: Simplify right side
    455.52x = 144,868.55
  5. Step 5: Solve for x
    x = 144,868.55/455.52
  6. Step 6: Final answer
    x = 318.03

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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.