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Finding the Fourth Proportional to 304.98, 456.85 and 212.41

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Solution

The fourth proportional to 304.98, 456.85 and 212.41 is: 318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 456.85 = 212.41 : x
  2. Step 2: Convert to fraction form
    304.98/456.85 = 212.41/x
  3. Step 3: Cross multiply
    304.98x = 456.85 × 212.41
  4. Step 4: Simplify right side
    304.98x = 97,039.51
  5. Step 5: Solve for x
    x = 97,039.51/304.98
  6. Step 6: Final answer
    x = 318.18

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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.