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Finding the Fourth Proportional to 427.02, 639.99 and 400.02

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Solution

The fourth proportional to 427.02, 639.99 and 400.02 is: 599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.02 : 639.99 = 400.02 : x
  2. Step 2: Convert to fraction form
    427.02/639.99 = 400.02/x
  3. Step 3: Cross multiply
    427.02x = 639.99 × 400.02
  4. Step 4: Simplify right side
    427.02x = 256,008.80
  5. Step 5: Solve for x
    x = 256,008.80/427.02
  6. Step 6: Final answer
    x = 599.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.