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Finding the Fourth Proportional to 403.12, 556.82 and 298.36

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Solution

The fourth proportional to 403.12, 556.82 and 298.36 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.12 : 556.82 = 298.36 : x
  2. Step 2: Convert to fraction form
    403.12/556.82 = 298.36/x
  3. Step 3: Cross multiply
    403.12x = 556.82 × 298.36
  4. Step 4: Simplify right side
    403.12x = 166,132.82
  5. Step 5: Solve for x
    x = 166,132.82/403.12
  6. Step 6: Final answer
    x = 412.12

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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.