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Finding the Fourth Proportional to 448.31, 668.07 and 433.62

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Solution

The fourth proportional to 448.31, 668.07 and 433.62 is: 646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.31 : 668.07 = 433.62 : x
  2. Step 2: Convert to fraction form
    448.31/668.07 = 433.62/x
  3. Step 3: Cross multiply
    448.31x = 668.07 × 433.62
  4. Step 4: Simplify right side
    448.31x = 289,688.51
  5. Step 5: Solve for x
    x = 289,688.51/448.31
  6. Step 6: Final answer
    x = 646.18

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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.