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Finding the Fourth Proportional to 448.95, 674.01 and 232.68

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Solution

The fourth proportional to 448.95, 674.01 and 232.68 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.95 : 674.01 = 232.68 : x
  2. Step 2: Convert to fraction form
    448.95/674.01 = 232.68/x
  3. Step 3: Cross multiply
    448.95x = 674.01 × 232.68
  4. Step 4: Simplify right side
    448.95x = 156,828.65
  5. Step 5: Solve for x
    x = 156,828.65/448.95
  6. Step 6: Final answer
    x = 349.32

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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.