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Finding the Fourth Proportional to 448.57, 668.25 and 420.63

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Solution

The fourth proportional to 448.57, 668.25 and 420.63 is: 626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.57 : 668.25 = 420.63 : x
  2. Step 2: Convert to fraction form
    448.57/668.25 = 420.63/x
  3. Step 3: Cross multiply
    448.57x = 668.25 × 420.63
  4. Step 4: Simplify right side
    448.57x = 281,086.00
  5. Step 5: Solve for x
    x = 281,086.00/448.57
  6. Step 6: Final answer
    x = 626.63

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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.