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Finding the Fourth Proportional to 322.48, 484.14 and 212.80

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Solution

The fourth proportional to 322.48, 484.14 and 212.80 is: 319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 484.14 = 212.80 : x
  2. Step 2: Convert to fraction form
    322.48/484.14 = 212.80/x
  3. Step 3: Cross multiply
    322.48x = 484.14 × 212.80
  4. Step 4: Simplify right side
    322.48x = 103,024.99
  5. Step 5: Solve for x
    x = 103,024.99/322.48
  6. Step 6: Final answer
    x = 319.48

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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.