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Finding the Fourth Proportional to 448.56, 668.43 and 433.88

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Solution

The fourth proportional to 448.56, 668.43 and 433.88 is: 646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.56 : 668.43 = 433.88 : x
  2. Step 2: Convert to fraction form
    448.56/668.43 = 433.88/x
  3. Step 3: Cross multiply
    448.56x = 668.43 × 433.88
  4. Step 4: Simplify right side
    448.56x = 290,018.41
  5. Step 5: Solve for x
    x = 290,018.41/448.56
  6. Step 6: Final answer
    x = 646.55

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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.