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Finding the Fourth Proportional to 322.51, 483.21 and 212.75

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Solution

The fourth proportional to 322.51, 483.21 and 212.75 is: 318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.51 : 483.21 = 212.75 : x
  2. Step 2: Convert to fraction form
    322.51/483.21 = 212.75/x
  3. Step 3: Cross multiply
    322.51x = 483.21 × 212.75
  4. Step 4: Simplify right side
    322.51x = 102,804.14
  5. Step 5: Solve for x
    x = 102,804.14/322.51
  6. Step 6: Final answer
    x = 318.77

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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.