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Finding the Fourth Proportional to 505.98, 698.04 and 338.13

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Solution

The fourth proportional to 505.98, 698.04 and 338.13 is: 466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.98 : 698.04 = 338.13 : x
  2. Step 2: Convert to fraction form
    505.98/698.04 = 338.13/x
  3. Step 3: Cross multiply
    505.98x = 698.04 × 338.13
  4. Step 4: Simplify right side
    505.98x = 236,028.27
  5. Step 5: Solve for x
    x = 236,028.27/505.98
  6. Step 6: Final answer
    x = 466.48

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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.