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Finding the Fourth Proportional to 448.06, 667.68 and 433.38

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Solution

The fourth proportional to 448.06, 667.68 and 433.38 is: 645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.06 : 667.68 = 433.38 : x
  2. Step 2: Convert to fraction form
    448.06/667.68 = 433.38/x
  3. Step 3: Cross multiply
    448.06x = 667.68 × 433.38
  4. Step 4: Simplify right side
    448.06x = 289,359.16
  5. Step 5: Solve for x
    x = 289,359.16/448.06
  6. Step 6: Final answer
    x = 645.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.