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Finding the Fourth Proportional to 505.49, 696.74 and 401.00

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Solution

The fourth proportional to 505.49, 696.74 and 401.00 is: 552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.49 : 696.74 = 401.00 : x
  2. Step 2: Convert to fraction form
    505.49/696.74 = 401.00/x
  3. Step 3: Cross multiply
    505.49x = 696.74 × 401.00
  4. Step 4: Simplify right side
    505.49x = 279,387.25
  5. Step 5: Solve for x
    x = 279,387.25/505.49
  6. Step 6: Final answer
    x = 552.71

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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.