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Finding the Fourth Proportional to 662.06, 913.43 and 400.14

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Solution

The fourth proportional to 662.06, 913.43 and 400.14 is: 552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 913.43 = 400.14 : x
  2. Step 2: Convert to fraction form
    662.06/913.43 = 400.14/x
  3. Step 3: Cross multiply
    662.06x = 913.43 × 400.14
  4. Step 4: Simplify right side
    662.06x = 365,499.88
  5. Step 5: Solve for x
    x = 365,499.88/662.06
  6. Step 6: Final answer
    x = 552.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.