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Finding the Fourth Proportional to 403.68, 556.92 and 248.16

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Solution

The fourth proportional to 403.68, 556.92 and 248.16 is: 342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 556.92 = 248.16 : x
  2. Step 2: Convert to fraction form
    403.68/556.92 = 248.16/x
  3. Step 3: Cross multiply
    403.68x = 556.92 × 248.16
  4. Step 4: Simplify right side
    403.68x = 138,205.27
  5. Step 5: Solve for x
    x = 138,205.27/403.68
  6. Step 6: Final answer
    x = 342.36

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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.