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Finding the Fourth Proportional to 448.34, 674.12 and 412.70

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Solution

The fourth proportional to 448.34, 674.12 and 412.70 is: 620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.34 : 674.12 = 412.70 : x
  2. Step 2: Convert to fraction form
    448.34/674.12 = 412.70/x
  3. Step 3: Cross multiply
    448.34x = 674.12 × 412.70
  4. Step 4: Simplify right side
    448.34x = 278,209.32
  5. Step 5: Solve for x
    x = 278,209.32/448.34
  6. Step 6: Final answer
    x = 620.53

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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.