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Finding the Fourth Proportional to 448.54, 669.60 and 379.28

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Solution

The fourth proportional to 448.54, 669.60 and 379.28 is: 566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.54 : 669.60 = 379.28 : x
  2. Step 2: Convert to fraction form
    448.54/669.60 = 379.28/x
  3. Step 3: Cross multiply
    448.54x = 669.60 × 379.28
  4. Step 4: Simplify right side
    448.54x = 253,967.56
  5. Step 5: Solve for x
    x = 253,967.56/448.54
  6. Step 6: Final answer
    x = 566.21

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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.