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Finding the Fourth Proportional to 450, 671.52 and 401.40

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Solution

The fourth proportional to 450, 671.52 and 401.40 is: 599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 671.52 = 401.40 : x
  2. Step 2: Convert to fraction form
    450/671.52 = 401.40/x
  3. Step 3: Cross multiply
    450x = 671.52 × 401.40
  4. Step 4: Simplify right side
    450x = 269,548.13
  5. Step 5: Solve for x
    x = 269,548.13/450
  6. Step 6: Final answer
    x = 599.00

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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.